Question

Find the slope of the line passing through the points (-4,-3) and (8,-9)

Answer 1

y = 3/2x +3

Explanation:

y - y1 = m(x + x1)

-3 -(-9) = m(-4 + 8)

6 = 4m

6/4 = 4m/4

3/2 = m

y = mx + b

-3 = 3/2(-4) + b

-3 = -6 + b

-3 + 6 = (-6 + 6) + b

3 = b

Plug it back in

-3 = 3/2(-4) + 3

-3 = -3 so it works

Answer 2

-1/2

Step by Step:

An easy equation to remember is y2-y1/x2-x1=slope.

In this problem,-9 is y2 and -3 is y1 so (-9)-(-3) is how you would set up the top half.

8 is x2 and -4 is x1 so 8-(-4) is how you would set up the bottom half.

Next you need to solve,so (-9)-(-3)=-6 and 8-(-4)=12.

Finally,you simplify. Both numbers can be divided by 6,so -6÷6=-1 and 12÷6=2,giving you -1/2 as your slope.