Question

Complete the point-slope equation of the line through (-1,-10)(−1,−10)left parenthesis, minus, 1, comma, minus, 10, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers.

Answer 1

y=2x-8

Explanation:

points

(-1, -10) and (5, 2)

point slope equation:

y2-y1= m(x2-x1)

• 2+10=m(5+1)
• 12=6m

m=2

y-y1=m(x-x1)

• y+10=2(x+1)
• y= 2x-8

y-y2= m(x-x2)

• y-2= 2(x-5)
• y= 2x-8

Answer 2

y+10 = 2(x+1)

Explanation:

We have two points so we can find the slope

(−1,−10) and (5,2)

m = (y2-y1)/(x2-x1)

= (2- -10)/(5 - -1)

= (2+10)/(5+1)

= 12/6

=2

The point slope form is

y-y1 = m(x-x1)

y - -10 = 2(x--1)

y+10 = 2(x+1)

If we use the other point

y -2 = 2(x-5)