Question

What is the equation of the line that passes through the point (−8,4) and has a slope of −1?

Answer 1

y = -1x - 4

Explanation:

Equation of a line in slope intercept form is

y = mx + b where m = slope and b = y-intercept

Slope is given as -1

So y = -1x + b

Substitute for point x = -8, y = 4
4 = (-1)(-8) + b
4 = 8 + b

Subtract 8 both sides:

4 - 8 = b

b = -4

So equation of line is y = -1x - 4