Question

find the slope of the line through the points (-3,7) and (8,5), then find an equation and graph line that goes through the points.

Answer 1

y = -2/11x + 71/11

Explanation:

Point Slope Form: y₁-y₂=m(x₂-x₁)

7-5=m(-3-8)

2=m(-11)

-2/11=m

Plug it into y=mx+b

y=-2/11x+b

Plug in one of your ordered pairs into the expression

5=-2/11(8)+b

5=-16/11+b

5=-16/11+b

55/11=-16/11+b

71/11=b

Plug it into your original expression

y=-2/11x+71/11

Answer 2

Explanation:

Let's say -3=x1, 7=y1. 8=x2, 5=y2

Slope formula: y2-y1/x2-x1

So 5-7/8-(-3)

-2/8+3

-2/11

Then apply this formula y-y1=s(x-x1) and solve for y for both ordered pairs

y-7=-2/11(x-(-3))

y-7=-2/11x-6/11

y=-2/11x-6/11+7

y=-2/11x-71/11

Now apply to the other ordered pair y-y2=s(x-x2)

y-5=-2/11(x-8)

y-5=-2/11x+16/11

y=-2/11x+16/11+5

y=-2/11x+71/11

You should get the same answer in both operations. Im this case your answer would be y=-2/11x+71/11