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Equations of Lines

Authored by Itzel Carranza-Hegner

Mathematics

8th - 9th Grade

CCSS covered

Used 7+ times

Equations of Lines
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13 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the equation of a line that has a slope of 9 and a y-intercept of

 (0,12)\left(0,-\frac{1}{2}\right)  

 y=12x9y=-\frac{1}{2}x-9  

 y=12x9y=\frac{1}{2}x-9  

 y=9x12y=9x-\frac{1}{2}  

 y=9x12y=-9x-\frac{1}{2}  

Answer explanation

the slope is always multiplied with the variable X

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

What is the value of m in the equation? Use the graph.

 y=m x+3y=m\ x+3  

 33  

 3-3  

 13\frac{1}{3}  

 13-\frac{1}{3}  

Answer explanation

This line falls so the slope is negative. It falls 3, runs 1 from one point to the next:  -3/1 reduces to -3.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the POINT-SLOPE FORM equation of the line that passes through the point (-3,8) and has a slope of -4.

 y+8=4(x3)y+8=-4\left(x-3\right)  

 y8=4(x+3)y-8=-4\left(x+3\right)  

 y+3=4(x8)y+3=-4\left(x-8\right)  

 y3=4(x+8)y-3=-4\left(x+8\right)  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

SHOW YOUR WORK!  Write a slope-intercept equation of the line that passes through the point and has the given slope:

 (9.6)\left(9.-6\right)   slope: m=23slope:\ m=\frac{2}{3}  

 y=23xy=\frac{2}{3}x  

 y=23x12y=\frac{2}{3}x-12  

 y=23x13y=\frac{2}{3}x-13  

 y=23x+13y=\frac{2}{3}x+13  

Answer explanation

start by using point-slope form!

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation in slope-intercept form of a line that passes through:

 (10,12) and (6,4)\left(10,-12\right)\ and\ \left(6,-4\right)  

 y=2x+8y=-2x+8  

 y=2x8y=2x-8  

 y=2x8y=-2x-8  

 y=4x+20y=-4x+20  

Answer explanation

First find the slope, then pick one of the points and substitute it into the point-slope formula.

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (2,9) and (1, 9)\left(-2,-9\right)\ and\ \left(1,\ -9\right)  


SHOW YOUR WORK!! Write the equation of the line that passes through the points.



 zerozero  

 undefinedundefined  

 y=9y=-9  

 x=9x=-9  

Answer explanation

the slope of this line is zero, which means that it is a horizontal line and horizontal lines have equations that look like this:  y = #

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which equation represents the line below?

y=2xy=2x

y=2y=2

x=2x=2

x=3x=-3

Answer explanation

this is a vertical line so the equation is always in the form: x = #
*pay attention WHERE the line intersect the x-axis

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