Question

The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line? A) –4 B) –2 C) 20 D) 22

Answer 1

22

Explanation:

y-1 = -7(x-3)

This is point slope form

Distribute

y-1 = -7x +21

Add 1 to each side

y-1+1 = -7x+21+1

y = -7x+22

This is slope intercept form where y = mx+b and b is the y intercept

22 is the y intercept

Answer 2

D) 22

Explanation:

• y= mx+b point-slope form

y-1= -7(x-3)

y= -7x+21+1

• y= -7x+22 in point-slope form

x=0 ⇒ y-intercept is equal to:

• y= -7*0+22= 22

So y -intercept is 22, option D