Question

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

Answer 1

Answer:  7/4

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How to get that answer:

The slope is the rate of change for any linear function.

Apply the slope formula for any two points on the diagonal line.

I'll use the points (-4, -3) and (0, 4)

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{0-(-4)}\\\\m = \frac{4+3}{0+4}\\\\m = \frac{7}{4}$

The slope is m = 7/4

This indicates that each time we go up 7 (rise), we also go to the right 4 units (run)

slope = rise/run = 7/4

rise = 7, run = 4

The fraction 7/4 converts to the decimal form 1.75