Answer:
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
