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Help on all 3 questions

Help On All 3 Questions class=

Sagot :

Answer:

a. What is the slope of the line?

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

b. What is the x-intercept of the line? (Where does the line cross the x-axis?)

[tex](-1,0)[/tex]

c. What is the y-intercept of the line? (Where does the line cross the y-axis?)

[tex](0, -3)[/tex]

Step-by-step explanation:

Calculate slope:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3[/tex]

Calculate y-intercept:

(Pick any point that lies on the line)

[tex](-1,0)[/tex]

[tex]b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3[/tex]

Create function:

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

Get x-intercept:

Set y = 0:

[tex]0 = -3x-3\\3 = -3x\\-1 =x[/tex]

[tex](-1,0)[/tex]

Get y-intercept:

Set x = 0:

[tex]y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3[/tex]

[tex](0, -3)[/tex]