Writing Equations of Lines Introduction

Writing Equations of lines

by Caren Garza

​You can also use the x- and y-intercepts to graph lines in standard form. (look at notes from previous lesson)

Multiple Choice

Find the slope  and y-intercept of:

2x - 3y = -12

• slope = 2/3, y-intercept = -12

• slope = -2/3, y-intercept = -3

• slope = 2/3, y-intercept = 4

• slope = -12, y-intercept = -3

Multiple Choice

Which is the equation of the line with slope 3 and y-intercept 5.

• y = 3x + 5

• y = 5x + 3

• y = 3/5x

• y = 5/3x

​The y-intercept...

• ​is where the line crosses/touches the y-axis

• ​is the ordered pair (0,y)

• ​the 'b' value in

Fill in the Blanks

Write the equation of a line in slope-intercept form with a slope of -1/2 and goes through the point (0,5). Do not use any spaces when typing your equation.

Multiple Choice

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

Multiple Choice

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Multiple Choice

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Multiple Choice

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)

Multiple Choice

For the equation y - 3 = 2(x + 4), which of the following is true?

• The line has m = 2 passing through the point (4, -3)

• The line has m = 2 passing through the point (3, -4)

• The line has m = 2 passing through the point (-4, 3)

• The line has m = 2 passing through the point (-3, 4)

Multiple Choice

What is the y intercept of

the line with the equation

y - 6 = -2(x + 5)

• -4

• -5

• -10

• 6

Multiple Choice

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

• y - 6 = -3(x - 1)

• y + 6 = -3(x + 1)

• y - 1 = -3(x - 6)

• y + 1 = -3(x + 3)

Fill in the Blanks

Write the equation of a line in Point-Slope form that goes through the points (-5,-8) and (-4,-6). Do not use any spaces when writing equation.

Multiple Select

Write the equation of a line in Point-Slope form that goes through the points (-6,2) and (-4,-1). Do not use any spaces when writing equation. There could me more than one answer.

• $$y-2=-\frac{3}{2}\left(x+6\right)$$  

• $$y+2=\frac{3}{2}\left(x-6\right)$$  

• $$y-1=\frac{3}{2}\left(x-4\right)$$  

• $$y+1=-\frac{3}{2}\left(x+4\right)$$  

Multiple Choice

Write the equation of the line that passes through the points (-2, -1) and (0, 5).

• y = 3x - 5

• y = 1/3x + 5

• y = 3x + 5

• y = 1/3x