Writing Equations from Graphs

This lesson focuses on writing equations from a graph by identifying the slope and y-intercept. The lesson revisits skills from a previous module and simplifies the process into three steps: finding the slope, identifying the y-intercept, and writing the equation in slope-intercept form. The video includes three examples to illustrate these steps, emphasizing the importance of starting from the leftmost point and using rise over run for slope calculation. The lesson also explains how to handle graph breaks and provides guidance on simplifying equations.

What is the primary goal of the lesson on writing equations from a graph?

• To learn new mathematical concepts

• To identify the slope and y-intercept from a graph

• To memorize equations

• To draw complex graphs

Which formula is used to find the slope of a line from a graph?

• b = y-intercept

• x = my + b

• y = mx + b

• m = rise over run

What is the second step in writing an equation from a graph?

• Calculate the x-intercept

• Draw the graph

• Find the y-intercept

• Identify the slope

In the first example, what is the slope of the line?

• 10/8

• 8/10

• 4/5

• 5/4

What is the y-intercept in the first example?

• 10

• 5

• 4

• 8

In the second example, what is the value of the slope?

• 3/2

• 2/3

• 3/1

• 1/3

What is the y-intercept in the second example?

• 1

• -2

• 2

• -1

In the final example, what is the simplified form of the slope?

• -1/1

• 1/1

• 1

• -1

What is the y-intercept in the final example?

• 6

• 4

• 5

• 3

How is the equation written in its simplest form in the final example?

• y = -x + 4

• y = x - 4

• y = -1x + 4

• y = 1x - 4