Question

What is an equation of the line that passes through the point (-5,-2) and is parallel to the line x-y=5

Answer 1

y = x + 3

Explanation:

Parallel: x - y = 5 -> y = x - 5

Take the slope from Parallel. m = 1

Point (-5,-2) = (x_0, y_0) , m = 1

Point-Slope Form:
`(y - y_0) = m * (x - x_0)`

(y - (-2)) = 1 * (x - (-5))

y + 2 = 1x + 5

y = x + 3