Find the equation of the line

y = 2x - 7

Step-by-step explanation:

The question is asking for slope-intercept form, y = mx + a.

Given:

(1, -5) and (9, 11)

Find the slope (m) between the two points:

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

x1 = 1

x2 = 9

y1 = -5

y2 = 11

m = ( 11 - (-5) )/(9 - 1)

= 16/8

m = 2

y = 2x + a

Use one of the two points to find a (I will use (1, -5)):

-5 = 2(1) + a

-5 = 2 + a

-7 = a

a = -7

y = 2x + (-7)

y = 2x - 7