Question

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

Answer 1

Answer:

Please check the explanation.

Step-by-step 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.