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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
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