Question

What is the graph's approximate rate of change? -1212 -2 2 1212 Number graph that ranges from negative five to five on the x and y axes. A line passes through the labeled points begin ordered pair negative four comma negative one end ordered pair and begin ordered pair one and begin fraction one-half end fraction comma, two end ordered pair

Answer 1

Sorry I'm late but the answer is 1/2. I just took the quiz and I got 100%

Answer 2

As per given description, given points are(-4,-1) and (1 1/2,2).

Now question says to find the approximate rate of change of line passing through given points. We know that slope of line gives rate of change of the line. Hence we are going to find the slope m using formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-1-2}{-4- 1 \frac{1}{2}}$

$m=\frac{-3}{-5 \frac{1}{2}}$

$m=\frac{-3}{- \frac{11}{2}}$

$m=\frac{-3*2}{-11}$

$m=\frac{6}{11}$

m=0.545454545455

Hence rate of change of the given line is $\frac{6}{11}$ which is approx 0.55.