Question

A.) Rewrite the equation 9x-3y-9=0 in slope-intercept form.

B) Give the slope and y- intercept.
C) Use the slope and y -intercept to the graph the linear function.

Answer 1

Please check the explanation.

Explanation:

The slope-intercept form of the line equation

y = mx+b

where

• m is the slope

• b is the y-intercept

Part a)

Given the equation

`9x-3y-9=0`

Writing the equation in the slope-intercept form of the line equation

`9x-3y-9=0`

adding 3y to both sides

`9x-3y-9+3y=0+3y`

`9x-9 = 3y`

flip the equation

`3y = 9x-9`

divide both sides by 3

`y=3x-3`

Thus, the equation in the slope-intercept form is:

`y=3x-3`

Part b)

As the equation in the slope-intercept form is

`y=3x-3`

comparing with the slope-intercept form

• The slope m = 3

• The y-intercept b = -3

Part c)

Given the equation

`y=3x-3`

The graph is attached below.

From the given graph, is clear that:

at x = 0, the value of y = -3

Thus, the y-intercept of the equation is b = -3

Please check the attached graph.