The rate of change between two points is 3. If the two points are (3.5) and (8,m). what is the value of m? Explain how you determined your answer

Step-by-step explanation:

Given

Points (3.5) and (8,m)

Rate of change = 3

Required

Find m

Basically, rate of change means slope or gradient;

So, we'll apply the formula of slope/gradient to solve for m;

Slope is calculated as thus;

Where

So;

becomes

Recall that rate of change = 3;

Substitute 3 for slope

Multiply both sided by 5

Add 5 to both sides

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer