What is the equation of a line that passes through the points (-2, 5) and (2, -10)? Here we will show you how to find the equation of a line that passes through the points (-2, 5) 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 (-2, 5) and (2, -10) into an equation in standard form:
(x1, y1) and (x2, y2)
(-2, 5) and (2, -10)
A = y2 - y1
A = -10 - 5
A = -15
B = x1 - x2
B = -2 - 2
B = -4
C = y1 × (x2 - x1) - (y2 - y1) × x1
C = 5 × (2 - -2) - (-10 - 5) × -2
C = -10
And when we put it all together, we get the equation of a line that passes through the points (-2, 5) and (2, -10), as seen below:
Ax + By + C = 0
-15x - 4y - 10 = 0
Line Equation from Two Points Calculator
Need to find another line equation? No problem! Find another equation by entering two points into the box below.
Equation of a line that passes through the points (-2, 5) and (2, -9)?
Here is the answer to a similar problem that you may find interesting!