Lesson: Rewriting Linear Equations

Multiple Choice

Do you have your phone in the box, notebook out, and ready to take notes? ​

(you will need to take a picture and upload it at the end)

• YES I have my notebook out

• No, I know it means a bad grade

Rewriting Linear Equations

Objective: Rewrite linear equations into different forms.​

Multiple Choice

Which graph is x = -8?

Standard Form to Slope-Intercept Form

​Ax + By = C

y = mx + b

​EXAMPLES

3x - 5y = 10

​7x + 6y = 11

Math Response

Convert from Standard Form to Slope-Intercept Form. $$2x+5y=40$$  

Type answer here

Correct Answer: y=-\frac{2}{5}x+8

Deg^°

Rad

Point-Slope Form to Slope-Intercept Form

​y - y₁ = m(x - x₁)

y = mx + b

​EXAMPLES

Multiple Choice

Convert to slope-intercept form.

y - 3 = -2(x + 4)

• y = 2x - 5

• y = -2x - 11

• y = -2x - 5

• y = -2x + 1

EXAMPLE

A line has a slope of 5 and passes through the point (-2,8). Write the equation for the line in Slope-Intercept Form.​

Math Response

A line has a slope of -6 and passes through the point (-2,3). Write the equation for the line in Slope-Intercept form.

Type answer here

Correct Answer: y=-6x-9

Deg^°

Rad

EXAMPLE

A line passes through the point (-12, 1) and (2, -6).
Write the equation for the line in Slope-Intercept Form.​

Math Response

A line passes through the point (0,-6) and (-18,20).
Write the equation for the line in Slope-Intercept Form.

Type answer here

Correct Answer: y=-\frac{13}{9}x-6

Deg^°

Rad