Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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.

Sagot :

absor201

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

[tex]9x-3y-9=0[/tex]

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

[tex]9x-3y-9=0[/tex]

adding 3y to both sides

[tex]9x-3y-9+3y=0+3y[/tex]

[tex]9x-9 = 3y[/tex]

flip the equation

[tex]3y = 9x-9[/tex]

divide both sides by 3

[tex]y=3x-3[/tex]

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

[tex]y=3x-3[/tex]

Part b)

As the equation in the slope-intercept form is

[tex]y=3x-3[/tex]

comparing with the slope-intercept form

  • The slope m = 3
  • The y-intercept b = -3

Part c)

Given the equation

[tex]y=3x-3[/tex]

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.

View image absor201
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.