Question

Find the equation of the line that passes through the two points (5,-3) and (-5,2). Write your answer in standard form. Help me I don’t know how to write this

Answer 1

x + 2y = -1

Explanation:

First, we'll find the slope.

Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2

Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:

y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use

y = -1/2(x + 5) + 2

y = -1/2x - 1/2

Standard form:

1/2x + y = -1/2

x + 2y = -1