What is the equation of a line that passes through the points (3, 6) and (9, -8)? Here we will show you how to find the equation of a line that passes through the points (3, 6) and (9, -8).
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 (3, 6) and (9, -8) into an equation in standard form:
(x1, y1) and (x2, y2)
(3, 6) and (9, -8)
A = y2 - y1
A = -8 - 6
A = -14
B = x1 - x2
B = 3 - 9
B = -6
C = y1 × (x2 - x1) - (y2 - y1) × x1
C = 6 × (9 - 3) - (-8 - 6) × 3
C = 78
And when we put it all together, we get the equation of a line that passes through the points (3, 6) and (9, -8), as seen below:
Ax + By + C = 0
-14x - 6y + 78 = 0
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