A line passes through the points (−4, −1) and (−2, −4) . Fill in the boxes to complete an equation for the line in point-slope f

Question

irina [24]

2 years ago

8

A line passes through the points (−4, −1) and (−2, −4) . Fill in the boxes to complete an equation for the line in point-slope f

orm.

Mathematics

1 answer:

gizmo_the_mogwai [7] · Answer 1 · 2022-07-08T04:43:04+03:00

gizmo_the_mogwai [7]2 years ago

8 0

Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2

Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7

In short, Your Equation would be: y = -3/2x - 7

Hope this helps!