What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?

Question

asked Apr 21, 2022 87.4k views

1 Answer

Jahra · Answer 1 · 2022-04-27T07:32:34+0000

Answer:

y = -5/4 x - 3 is the slope-intercept form

5x + 4y = -12 is the standard form

Explanation:

Use the point-slope form:
y - y_(1) = m(x - x_(1))

(x_(1), y_(1)) = (-4, 2)

y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction

4y - 8 = -5(x + 4)

4y - 8 = -5x - 20

4y = -5x - 12

y = -5/4 x - 3 is the slope-intercept form

5x + 4y = -12 is the standard form