What is the equation of a line that passes through the points (4, 4) and (-2, 1)? Here we will show you how to find the equation of a line that passes through the points (4, 4) and (-2, 1).
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 (4, 4) and (-2, 1) into an equation in standard form:
(x1, y1) and (x2, y2)
(4, 4) and (-2, 1)
A = y2 - y1
A = 1 - 4
A = -3
B = x1 - x2
B = 4 - -2
B = 6
C = y1 × (x2 - x1) - (y2 - y1) × x1
C = 4 × (-2 - 4) - (1 - 4) × 4
C = -12
And when we put it all together, we get the equation of a line that passes through the points (4, 4) and (-2, 1), as seen below:
Ax + By + C = 0
-3x + 6y - 12 = 0
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Equation of a line that passes through the points (4, 4) and (-2, 2)?
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