Question

Help on all 3 questions

Answer 1

Answer:

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?)

$(0, -3)$

Step-by-step explanation:

Calculate slope:

$m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3$

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:

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

$(0, -3)$