Find the slope of a linear function given h(5)=7 and h(-3)=1

Question

Find the answer plssss

Answer 1

We need to utilize the slope formula for this problem in order to find a solution

We have two points that come from function notation such as h(5)=7 and h(-3)=1.

(5,7) (-3, 1)

Slope formula: y2-y1/x2-x1=m

So we identify are variables: x1=5, y1=7, x2=-3, y2=1

Then we substitute into the formula to find the slope (rate of change)

1-7/-3-5=-6/-8 which simplifies to positive 3/4 for the slope

So m=3/4

Answer 2

Simply use the slope formula:

( y₂ - y₁ ) / ( x₂ - x₁ ) = ( 7 - 1 ) / ( 5 - (-3) ) = 6 / 8 = 3/4

Note: h(x) is used to emphasize that we are dealing with a function. h(x)=y