Slope-Intercept Form - Graph with Slope and Y-intercept 

Slope-Intercept Form - Graph with Slope and Y-Intercept - How it Works - Video

Example 1

Example 1:

We have the equation, y = 2x - 3. Remember the Slope-Intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite our equation, y = 2/1 * x + (-3) so we can see the rise/run a little bit easier.

So the slope is 2/1 where 2 is the rise and 1 is the run.

We start at the intercept, b, which is -3, and go up 2 and to the right 1, and we can continue that pattern for a few more points. Finally we connect the points and draw a line.

Example 2

Example 2:

We have the equation, y = -4/3x + 1. Remember the Slope-Intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite our equation, y = -4/3 * x + (1) so we can see the rise/run a little bit easier.

So the slope is -4/3 where 4 is the rise and -3 is the run.

We start at the intercept, b, which is 1, and go up 4 and to the left 3 since we have a negative number, and we can continue that pattern for a few more points. This time since we have a negative slope we could also go down 4 and 3 to the right 3. Finally we connect the points and draw a line.

Example 3

Example 3:

We have the equation, f(x) = 2x - 3. Remember the Slope-Intercept form is f(x) = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite our equation, f(x) = 3/2 * x + (2) so we can see the rise/run a little bit easier.

So the slope is 3/2 where 3 is the rise and 2 is the run.

We start at the intercept, b, which is 2, and go up 3 and 2 to the right, and we can continue that pattern for a few more points. Finally we connect the points and draw a line.

Example 3 Check:

We are unconformable with graphing with the slope-intercept form then we can also substitute a few inputs and find their outputs to graph. The points (-4, -4), (-2, -1), (0, 2), and (2, 5) match what is already on the coordinate grid so we graphed the y-intercept and the slope correctly.

Live Worksheet 

Teacher - Edpuzzle Link