What is the equation of a line that passes through the points (-2, 5) and (1, 2)? Here we will show you how to find the equation of a line that passes through the points (-2, 5) and (1, 2).
Linear equations can be expressed in various forms. On this page, we will be finding the equation of a line that passes through the points (x1, y1) and (x2, y2) in standard form, which is written as Ax + By + C = 0. Here are the formulas and the math used to convert points (-2, 5) and (1, 2) into an equation in standard form:
(x1, y1) and (x2, y2)
(-2, 5) and (1, 2)
A = y2 - y1
A = 2 - 5
A = -3
B = x1 - x2
B = -2 - 1
B = -3
C = y1 × (x2 - x1) - (y2 - y1) × x1
C = 5 × (1 - -2) - (2 - 5) × -2
C = 9
And when we put it all together, we get the equation of a line that passes through the points (-2, 5) and (1, 2), as seen below:
Ax + By + C = 0
-3x - 3y + 9 = 0
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