Question

What is the equation of the line through (-5,-1) & (3,-3)?

Answer 1

Answer:

y = -1/4x - 2.25

Step-by-step explanation:

If you do this algebraically then use formula:

M= (y2 - y1) / (x2 - x1)

In other words, M= (-3 - (-1)) / (3 - (-5))

M= (-2) / (8)

M= -1/4 <-- This is your slope

To find y-intercept:

Substitute M in the slope-intercept equation (y=mx+b) with -1/4, y=-1/4x+b

Next, Substitute y and x with either point (-5, -1) or (3,-3)

-1 = -1/4(-5) + b   <-- Solve for B

-1.25    -1 = 1.25 + b   -1.25

-2.25 = b

Now just substitute b and m, and there's your answer:

y = -1/4x - 2.25

Hope this helps!