Question

The graph of a function is shown on the coordinate plane below. Identify the rate of change of the function.

Answer 1

Answer:

$\frac{5}{3}$

Step-by-step explanation:

The slope m is a measure of the rate of change

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with |(x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m = $\frac{4-(-1)}{3-0}$ = $\frac{4+1}{3}$ = $\frac{5}{3}$ ← rate of change

Answer 2

Answer:

slope(m) = 7/4

Step-by-step explanation:

You can use Rise over run in order to find out the answer. I just used points (0,-1) and (4,6) and the rise was positive 7 while the run is 4 so the rate of change or the slope is 7/4.

You could also use the long way to figure the slope of the line. You could use (y2 - y1) / (x2, x1) to get the same slope