7th pd-Linear Equations from two points

Writing Linear Equations from Two Points

By Sheena Johnson

​Warm Up

Once you have completed your Warm up, please prepare to take notes in the packet you have received. We will be completing notes for section 3.4.

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

• It is a function because no vertical lines hit it twice.
• It's not a function because a vertical line hits it twice.
• It's not a function because no vertical lines hit it twice.
• It is a function because a vertical line hits it twice.

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function

Multiple Choice

Which set of ordered pairs is a function?

• {(9,5), (10,5), (9,-5), (10,-5)}

• {(3,4), (4,-3), (7,4), (3, 8)}

• {(6,-5), (7, -3), (8, -1), (9, 1)}

• {(2, -2), (5, 9), (5, -7), (1, 4)}

Multiple Choice

Is this is a function or not a function?

• Function
• Not a Function

Multiple Choice

Function or not a function?

{(0,3) (2,3) (4,3) (10,3)}

• Function

• Not a function

Student Practice

​Be sure to have scratch work to turn after completion.

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

What is the Linear Equation of the graph? 

• y = 4x +2

• y = -4x +2

• y = 2x -4

• y = 1/4x +2 

Multiple Choice

What is the Linear Equation of the graph?

• y = -3/6x -6

• y = 2x - 6

• y = -2x -6

• y = -6x -2

Multiple Choice

• y=1/2x+5

• y=-1/2x+5

• y=-1/2x-5

• y=1/2x-5

Multiple Choice

Convert the standard form equation into slope-intercept form.
x - 5y = 10

• y = ⅕x - 2
• y = -1/5x + 2

• y = -1/5x - 2

• y = 1/5x + 2

Multiple Choice

Write an equation for the line that passes through:

(-4,-7) and (-6,9)

• $$y=8x+39$$  

• $$y=-8x-39$$  

• $$y=-8x-32$$  

• $$y=8x+32$$  

Multiple Choice

Write an equation of the line that passes through

(0 , 10) and (6 , 34)

• $$y=4x+10$$  

• $$y=6x+34$$  

• $$y=4$$  

• $$y=6x-4$$  

Multiple Choice

Write an equation of the line that passes through the given point and has the given slope:

$$(-2,-1);\ m=-3$$  

• $$y=-3x-7$$  

• $$y=3x-7$$  

• $$y=-3x+7$$  

• $$y=-3x-8$$  

Multiple Choice

Write an equation of the line that passes through the given point and has the given slope::

$$(1,3);\ m=5$$  

• $$y=5x-2$$  

• $$y=5x+2$$  

• $$y=5x-8$$  

• $$y=5x+8$$  

Multiple Choice

Write an equation of the line that passes through the given point and has the given slope:

$$\left(4,2\right);\ m=\frac{1}{2}$$  

• $$y=\frac{1}{2}x$$  

• $$y=-\frac{1}{2}x$$  

• $$y=\frac{1}{2}x-1$$  

• $$y=\frac{1}{2}x+1$$  

Multiple Choice

Write the slope-intercept form of the equation between (0, 1) and (4, 4)

• y = -1/4x + 1

• y = -5/4x - 1/4

• y = x - 1/4

• y = 3/4x + 1

Multiple Choice

Write the equation in slope-intercept form through (4, -5) and (-4, -1)

• y = -1/2x - 3

• y = 1/2x - 3

• y = -3/2x - 3

• y = 3/2x - 3

Multiple Choice

Write the equation of the line in slope-intercept form through (4, 5) and (2, -1)

• y = -7x - 1

• y = 3x - 7

• y = -x - 7

• y = 7x - 1

Multiple Choice

Write the equation of the line in slope-intercept form through (-5, 1) and (-1, 5)

• y = 4x + 6

• y = x + 6

• y = -x + 6

• y = 6x + 1

Multiple Choice

Write an equation of the line in slope-intercept form:

• $$y=\frac{3}{2}x-3$$  

• $$y=6x+3$$  

• $$y=\frac{3}{2}x+3$$  

• $$y=4x-3$$  

Multiple Choice

Write the equation of the line in slope-intercept form through (0, 3) and (-2, 0)

• y = 3/2x + 3

• y = 1/2x + 3/2

• y = -1/2x + 3/2

• y = 3x + 3/2

Multiple Choice

Write the equation of the line in slope-intercept form through (0, -2) and (1, -3)

• y = -3x - 2

• y = -2x - 3

• y = x - 2

• y = -x - 2

Multiple Choice

Write the equation of the line in slope-intercept form through (5, -4) and (0, -3)

• y = -1/5x - 3

• y = -3/5x - 4/5

• y = -3x - 4/5

• y = -4/5x - 3

Multiple Choice

Write the equation of the line in slope-intercept form through (-4, -5) and (-5, -1)

• y = -21x + 1

• y = -4x - 21

• y = -x + 1

• y = x - 21

Multiple Choice

Write the equation of the line in slope-intercept form through (-3, -5) and (-1, 3)

• y = 3x + 4

• y = 7x + 4

• y = 4x + 7

• y = -3x + 4

Multiple Choice

Write the equation of the line in slope-intercept form through (-5, -4) and (0, 5)

• y = -9/5x + 5

• y = 9/5x + 5

• y = 2/5x + 5

• y = 5x + 2/5

Multiple Choice

Write an equation of the line that passes through the given point and has the given slope:

$$\left(-1,1\right);\ m=4$$  

• $$y=4x+5$$  

• $$y=4x-1$$  

• $$y=4x-3$$  

• $$y=4x-2$$  

Multiple Choice

What is the equation of the line?

• y = 0
• y = 1
• y = 2
• x = 1

Multiple Choice

What is the equation of this line?

• x=5
• y=5
• y=5x
• x=-5

Multiple Choice

What is the equation of the red graph pictured?

• y = -4

• x = -4

• y = 4

• x = 4

Multiple Choice

Does the following equation represent a vertical line, a horizontal line, or neither?

x = 4

• vertical

• horizontal

• neither

Multiple Choice

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

• y = 1/5x - 3
• y= 5x - 7
• y = 5x + 4
• y = -5x - 3

Multiple Choice

Which of the following lines goes through the point        (-3, 4) and is perpendicular to  y = 3/2x + 6?

• y = 3/2x - 6
• y = 2/3x + 3
• y = -2/3x - 2
• y = -2/3x + 2

Exit Ticket

​Ticket out the door!

Turn in scratch paper after Exit Ticket

Multiple Choice

Write an equation of the line in slope-intercept form:

• $$y=\frac{3}{2}x-3$$  

• $$y=6x+3$$  

• $$y=\frac{3}{2}x+3$$  

• $$y=4x-3$$  

Multiple Choice

Write an equation for the line that passes through the given points:
$$\left(-3,\ 5\right)$$  and  $$\left(0,\ -1\right)$$  

• $$y=-2x-1$$  

• $$y=-\frac{1}{2}x-1$$

• $$y=-1$$  

• $$y=-3x+5$$  

Multiple Choice

Write an equation for the line that passes through the given points:
$$\left(0,\ -2\right)$$  and  $$\left(4,\ 10\right)$$  

• $$y=\frac{1}{3}x-2$$  

• $$y=3x-2$$

• $$y=4x+10$$  

• $$y=2x-2$$  

Multiple Choice

What formula can be used to find the slope of a line?

• $$m=\frac{\ y_2-y_1\ }{x_2-x_1}$$

• $$y=mx+b$$

• $$Ax+By=C$$

• $$m=\frac{\ x_2-x_1\ }{y_2-y_1}$$

Multiple Choice

Write an equation for the line that passes through the given points:
$$\left(3,\ 1\right)$$  and  $$\left(0,\ 10\right)$$  

• $$y=-3x+10$$  

• $$y=-\frac{1}{3}x+10$$

• $$y=3x+1$$

• $$y=10$$  

​

Paul Haloms

" The only way to learn mathematics is to do mathematics. "