Writing Linear Equations from a Graph

Topic 4 Lesson 3 Review:
Graphing & Writing w/ Slope Intercept Form

Goal:

Students are going to graph equations that are presented in slope intercept form, and then write equations in slope intercept form from graphs.

Concept:

Slope Intercept Form

The point where a line crosses the y-axis.

​Y-Intercept

Steepness of a line.
The rise over run of a line.
The change over time of a line.

​Slope

Concepts:

Procedures: Graphing Slope Intercept

1) Graph the y-intercept coordinate.
2) Use the slope as directions to step to and graph the next point.
3) Connect the points to create a graphed linear equation.

Multiple Choice

Which is the graph of y= -x + 2?

• A
• B
• C
• D

Procedures: Writing Slope Intercept

1) Determine the y-intercept if possible.
2) Find the rise and run of the graphed line.
3) Use the y-intercept and slope to write the linear equation out in slope intercept form.

Multiple Choice

What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)

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

Multiple Choice

Write the equation for the line in slope-intercept form.

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