Find the equation of the line passing through the points (2, -1) and (-6, -5)
1 answer:
Step 1: Find the slope
Point 1 = (2, -1)
Point 2 = (-6, -5)
m = (-5 - - 1) / (-6 - 2) = (-5 + 1) / (-6 - 2) = -4 / -8 = 1/2
m = 1/2
Step 2: Find the y-intercept
Slope-Intercept Form: y = mx + b
-m is the slope
-b is the y-intercept
---Plug in whichever point you want as well as the slope and solve for b
Point = (2, -1)
-1 = (1/2)(2) + b
-1 = 1 + b
b = -2
Step 3: Form the equation
Slope-Intercept Form: y = mx + b
m = 1/2
b = -2
y = 1/2x - 2
Hope this helps!! :)
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