The equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope of the line
b is the y-intercept
Given the coordinate points expressed as (12, –4) and (–36, 8)
Get the slope:
m = 8+4/-36-12
m = 12/-48
m = -1/4
Get the y-intercept "b"
Recall that y = mx + b
8 = -1/4(-36) + b
8 = 9 + b
b = 8 - 9
b = -1
Get the required equation.
Recall that y = mx + b
y = -1/2 x + (-1)
y = -1/2 x - 1
Hence the equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
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