The slope intercept form of the equation is y = -2x + 1
The slope intercept form equation is represented as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
Using the coordinates known,
(3, -5)(-2, 5)
m = 5 - (-5) / -2 - 3 = 10 / - 5 = -2
Therefore,
lets find b using (3, -5)
y = -2x + b
-5 = -2(3) + b
-5 = -6 + b
b = -5 + 6
b = 1
y = -2x + 1
We can use the equation to find when x = 1 and x = 2 as follows:
x = 1
y = -2(1) + 1 = -1
x = 2
y = -2(2) + 1 = -3
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