Writing Equations of lines

Writing Equations of lines

by Caren Garza
edited by Mrs. Owens

To transform equations from standard form to slope intercept form solve for 'y' by applying the:
1. subtraction property of equality
2. division property of equality

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 Blank

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 Blank

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