What is the equation of a line that passes through the points (1, 6) and (2, 10)? Here we will show you how to find the equation of a line that passes through the points (1, 6) and (2, 10).
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 (2, 10) into an equation in standard form:
(x1, y1) and (x2, y2)
(1, 6) and (2, 10)
A = y2 - y1
A = 10 - 6
A = 4
B = x1 - x2
B = 1 - 2
B = -1
C = y1 × (x2 - x1) - (y2 - y1) × x1
C = 6 × (2 - 1) - (10 - 6) × 1
C = 2
And when we put it all together, we get the equation of a line that passes through the points (1, 6) and (2, 10), as seen below:
Ax + By + C = 0
4x - 1y + 2 = 0
4x - y + 2 = 0
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Equation of a line that passes through the points (1, 6) and (3, -10)?
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