Question

What is an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6?

PLEASE

Answer 1

y = - x + 4

Explanation:

x + y = 6

y = - x + 6

Slope= -1

Use the same slope since the two lines are parallel to each other.

Point-slope formula:

y - 8 = -1 (x - - 4)

y - 8 = -1 (x + 4)

y - 8 + 8 = -x - 4 + 8

y = - x + 4 (Slope-intercept form)