What is the equation of the line that passes through the point (4,-8)(4,−8) and has a slope of - 1/2?

Answer 1

You're given a point and the slope. You want to find the y-intercept. Using the equation, y = mx + b, the slope-intercept form, plug in the values you have and solve for b. (m is the slope.) You have y = -8 and x = 4 and m = 1/2. Solve for b, then rewrite the equation in the general form again, y = mx + b, but putting in the slope and y-intercept (b) that you just solved for. Good luck!

Answer 2

The given point is (4, -8) and the slope is -1/2.

Let's set up the point-slope form and plug them in.

y - y₀ = m(x - x₀)

y - (-8) = (-1/2)(x - 4)

y + 8 = (-1/2)x + 2

y = (-1/2)x - 6 or (1/2)x + y = -6