What is the equation of a line that passes through the points (1, 6) and (5, 3)? Here we will show you how to find the equation of a line that passes through the points (1, 6) and (5, 3).
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 (1, 6) and (5, 3) into an equation in standard form:
(x1, y1) and (x2, y2)
(1, 6) and (5, 3)
A = y2 - y1
A = 3 - 6
A = -3
B = x1 - x2
B = 1 - 5
B = -4
C = y1 × (x2 - x1) - (y2 - y1) × x1
C = 6 × (5 - 1) - (3 - 6) × 1
C = 27
And when we put it all together, we get the equation of a line that passes through the points (1, 6) and (5, 3), as seen below:
Ax + By + C = 0
-3x - 4y + 27 = 0
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