In order to solve an equation by graphing, what must be true about the equation?

The equation must be equal to zero.

All coeffiecients must be nagative.

All coefficients must be positive.

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Math

Data And Graphing

Graphing With Tables

Graphing Linear Equations With Tables

Graphing Linear Equations with Tables

Authored by Dalton Edgecomb

Mathematics

6th - 8th Grade

CCSS covered

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=2x+1$ by creating a table.
Begin with $x=-2$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(-2,-4\right)$

$\left(-2,-5\right)$

$\left(-2,-3\right)$

$\left(-2,-2\right)$

Answer explanation

$y=2\left(-2\right)+1$
$y=-4+1$
$y=-3$
This tells us that when $x=-2$ , $y=-3$
Giving us the ordered pair $\left(-2,-3\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=-1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(-1,-1\right)$

$\left(-1,-2\right)$

$\left(-1,3\right)$

$\left(-1,-3\right)$

Answer explanation

$y=2\left(-1\right)+1$
$y=-2+1$
$y=-1$
This tells us that when $x=-1$ , $y=-1$
Giving us the ordered pair $\left(-1,-1\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=0$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(0,2\right)$

$\left(0,1\right)$

$\left(0,3\right)$

$\left(0,-1\right)$

Answer explanation

$y=2\left(0\right)+1$
$y=0+1$
$y=1$
This tells us that when $x=0$ , $y=1$
Giving us the ordered pair $\left(0,1\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(1,-1\right)$

$\left(1,0\right)$

$\left(1,3\right)$

$\left(1,-3\right)$

Answer explanation

$y=2\left(1\right)+1$
$y=2+1$
$y=3$
This tells us that when $x=1$ , $y=3$
Giving us the ordered pair $\left(1,3\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=2$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(2,-1\right)$

$\left(2,1\right)$

$\left(2,3\right)$

$\left(2,5\right)$

Answer explanation

$y=2\left(2\right)+1$
$y=4+1$
$y=5$
This tells us that when $x=2$ , $y=5$
Giving us the ordered pair $\left(2,5\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which graph below correctly plots the points found when completing the table?

Answer explanation

The correct graph is the only one that contains all 5 points you have previously found: $\left(-2,-3\right),\left(-1,-1\right),\left(0,1\right),\left(1,3\right),\left(2,5\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=-3x-2$ by creating a table.
Begin with $x=-2$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(-2,-3\right)$

$\left(-2,-4\right)$

$\left(-2,-8\right)$

$\left(-2,4\right)$

Answer explanation

$y=-3\left(-2\right)-2$
$y=6-2$
$y=4$
This tells us that when $x=-2$ , $y=4$
Giving us the ordered pair $\left(-2,4\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=-3x-2$ by creating a table.
Now plug in $x=-1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(-1,1\right)$

$\left(-1,-5\right)$

$\left(-1,-1\right)$

$\left(-1,5\right)$

Answer explanation

$y=-3\left(-1\right)-2$
$y=3-2$
$y=1$
This tells us that when $x=-1$ , $y=1$
Giving us the ordered pair $\left(-1,1\right)$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=-3x-2$ by creating a table.
Now plug in $x=0$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(0,2\right)$

$\left(0,-3\right)$

$\left(0,-2\right)$

$\left(0,3\right)$

Answer explanation

$y=-3\left(0\right)-2$
$y=0-2$
$y=-2$
This tells us that when $x=0$ , $y=-2$
Giving us the ordered pair $\left(0,-2\right)$

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graph the related equation $0=-3x-2$ by creating a table.
Now plug in $x=1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$\left(1,-3\right)$

$\left(1,-5\right)$

$\left(1,-1\right)$

$\left(1,1\right)$

Answer explanation

$y=-3\left(1\right)-2$
$y=-3-2$
$y=-5$
This tells us that when $x=1$ , $y=-5$
Giving us the ordered pair $\left(1,-5\right)$

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Graphing Linear Equations with Tables

Graph the related equation 0=2x+10=2x+10=2x+1 by creating a table.Begin with x=−2x=-2x=−2 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=2(−2)+1y=2\left(-2\right)+1y=2(−2)+1 y=−4+1y=-4+1y=−4+1 y=−3y=-3y=−3 This tells us that when x=−2x=-2x=−2 , y=−3y=-3y=−3 Giving us the ordered pair (−2,−3)\left(-2,-3\right)(−2,−3)

Graph the related equation 0=2x+10=2x+10=2x+1 by creating a table.Now plug in x=−1x=-1x=−1 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=2(−1)+1y=2\left(-1\right)+1y=2(−1)+1 y=−2+1y=-2+1y=−2+1 y=−1y=-1y=−1 This tells us that when x=−1x=-1x=−1 , y=−1y=-1y=−1 Giving us the ordered pair (−1,−1)\left(-1,-1\right)(−1,−1)

Graph the related equation 0=2x+10=2x+10=2x+1 by creating a table.Now plug in x=0x=0x=0 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=2(0)+1y=2\left(0\right)+1y=2(0)+1 y=0+1y=0+1y=0+1 y=1y=1y=1 This tells us that when x=0x=0x=0 , y=1y=1y=1 Giving us the ordered pair (0,1)\left(0,1\right)(0,1)

Graph the related equation 0=2x+10=2x+10=2x+1 by creating a table.Now plug in x=1x=1x=1 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=2(1)+1y=2\left(1\right)+1y=2(1)+1 y=2+1y=2+1y=2+1 y=3y=3y=3 This tells us that when x=1x=1x=1 , y=3y=3y=3 Giving us the ordered pair (1,3)\left(1,3\right)(1,3)

Graph the related equation 0=2x+10=2x+10=2x+1 by creating a table.Now plug in x=2x=2x=2 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=2(2)+1y=2\left(2\right)+1y=2(2)+1 y=4+1y=4+1y=4+1 y=5y=5y=5 This tells us that when x=2x=2x=2 , y=5y=5y=5 Giving us the ordered pair (2,5)\left(2,5\right)(2,5)

Which graph below correctly plots the points found when completing the table?

The correct graph is the only one that contains all 5 points you have previously found: (−2,−3),(−1,−1),(0,1),(1,3),(2,5)\left(-2,-3\right),\left(-1,-1\right),\left(0,1\right),\left(1,3\right),\left(2,5\right)(−2,−3),(−1,−1),(0,1),(1,3),(2,5)

Graph the related equation 0=−3x−20=-3x-20=−3x−2 by creating a table.Begin with x=−2x=-2x=−2 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=−3(−2)−2y=-3\left(-2\right)-2y=−3(−2)−2 y=6−2y=6-2y=6−2 y=4y=4y=4 This tells us that when x=−2x=-2x=−2 , y=4y=4y=4 Giving us the ordered pair (−2,4)\left(-2,4\right)(−2,4)

Graph the related equation 0=−3x−20=-3x-20=−3x−2 by creating a table.Now plug in x=−1x=-1x=−1 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=−3(−1)−2y=-3\left(-1\right)-2y=−3(−1)−2 y=3−2y=3-2y=3−2 y=1y=1y=1 This tells us that when x=−1x=-1x=−1 , y=1y=1y=1 Giving us the ordered pair (−1,1)\left(-1,1\right)(−1,1)

Graph the related equation 0=−3x−20=-3x-20=−3x−2 by creating a table.Now plug in x=0x=0x=0 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=−3(0)−2y=-3\left(0\right)-2y=−3(0)−2 y=0−2y=0-2y=0−2 y=−2y=-2y=−2 This tells us that when x=0x=0x=0 , y=−2y=-2y=−2 Giving us the ordered pair (0,−2)\left(0,-2\right)(0,−2)

Graph the related equation 0=−3x−20=-3x-20=−3x−2 by creating a table.Now plug in x=1x=1x=1 . Which point below represents the order pair (x,y)\left(x,y\right)(x,y) that belongs on the line?

y=−3(1)−2y=-3\left(1\right)-2y=−3(1)−2 y=−3−2y=-3-2y=−3−2 y=−5y=-5y=−5 This tells us that when x=1x=1x=1 , y=−5y=-5y=−5 Giving us the ordered pair (1,−5)\left(1,-5\right)(1,−5)

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Discover more resources for Mathematics

Graph the related equation $0=2x+1$ by creating a table.
Begin with $x=-2$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=2\left(-2\right)+1$
$y=-4+1$
$y=-3$
This tells us that when $x=-2$ , $y=-3$
Giving us the ordered pair $\left(-2,-3\right)$

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=-1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=2\left(-1\right)+1$
$y=-2+1$
$y=-1$
This tells us that when $x=-1$ , $y=-1$
Giving us the ordered pair $\left(-1,-1\right)$

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=0$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=2\left(0\right)+1$
$y=0+1$
$y=1$
This tells us that when $x=0$ , $y=1$
Giving us the ordered pair $\left(0,1\right)$

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=2\left(1\right)+1$
$y=2+1$
$y=3$
This tells us that when $x=1$ , $y=3$
Giving us the ordered pair $\left(1,3\right)$

Graph the related equation $0=2x+1$ by creating a table.
Now plug in $x=2$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=2\left(2\right)+1$
$y=4+1$
$y=5$
This tells us that when $x=2$ , $y=5$
Giving us the ordered pair $\left(2,5\right)$

The correct graph is the only one that contains all 5 points you have previously found: $\left(-2,-3\right),\left(-1,-1\right),\left(0,1\right),\left(1,3\right),\left(2,5\right)$

Graph the related equation $0=-3x-2$ by creating a table.
Begin with $x=-2$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=-3\left(-2\right)-2$
$y=6-2$
$y=4$
This tells us that when $x=-2$ , $y=4$
Giving us the ordered pair $\left(-2,4\right)$

Graph the related equation $0=-3x-2$ by creating a table.
Now plug in $x=-1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=-3\left(-1\right)-2$
$y=3-2$
$y=1$
This tells us that when $x=-1$ , $y=1$
Giving us the ordered pair $\left(-1,1\right)$

Graph the related equation $0=-3x-2$ by creating a table.
Now plug in $x=0$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=-3\left(0\right)-2$
$y=0-2$
$y=-2$
This tells us that when $x=0$ , $y=-2$
Giving us the ordered pair $\left(0,-2\right)$

Graph the related equation $0=-3x-2$ by creating a table.
Now plug in $x=1$ .
Which point below represents the order pair $\left(x,y\right)$ that belongs on the line?

$y=-3\left(1\right)-2$
$y=-3-2$
$y=-5$
This tells us that when $x=1$ , $y=-5$
Giving us the ordered pair $\left(1,-5\right)$