Question

Help on all 3 questions

Answer 1

a. What is the slope of the line?

`y = -3x-3`

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

`(-1,0)`

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

`(0, -3)`

Explanation:

Calculate slope:

`m = (y_2-y_1)/(x_2-x_1)\\m = (-3-0)/(0-(-1)) \\m = (-3)/(1)\\m = -3`

Calculate y-intercept:

(Pick any point that lies on the line)

`(-1,0)`

`b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3`

Create function:

`y = -3x-3`

Get x-intercept:

Set y = 0:

`0 = -3x-3\\3 = -3x\\-1 =x`

`(-1,0)`

Get y-intercept:

Set x = 0:

`y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3`

`(0, -3)`