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]
