Equation of a line that passes through the points (-5, 8) and (0, 7)


Line Equation from Two Points

What is the equation of a line that passes through the points (-5, 8) and (0, 7)? Here we will show you how to find the equation of a line that passes through the points (-5, 8) and (0, 7).

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 (-5, 8) and (0, 7) into an equation in standard form:

(x1, y1) and (x2, y2)
(-5, 8) and (0, 7)

A = y2 - y1
A = 7 - 8
A = -1

B = x1 - x2
B = -5 - 0
B = -5

C = y1 × (x2 - x1) - (y2 - y1) × x1
C = 8 × (0 - -5) - (7 - 8) × -5
C = 35

And when we put it all together, we get the equation of a line that passes through the points (-5, 8) and (0, 7), as seen below:

Ax + By + C = 0
-1x - 5y + 35 = 0
-x - 5y + 35 = 0

Line Equation from Two Points Calculator
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Note: answers are rounded to the nearest thousandths if necessary.

Equation of a line that passes through the points (-5, 8) and (0, 8)?
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