Question

Use the image to answer the question.
An illustration shows quadrant four of a coordinate plane where the x-axis ranges from 0 to 6 in increments of one and the y-axis ranges from 0 to negative 6 in increments of one. The line passes through coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 4 comma negative 6 right parenthesis.

What is the rate of this graph?(1 point)
Remaining Attempts : 3
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Answer 1

To determine the rate (or slope) of the line that passes through the points (0, 0) and (4, -6) on the coordinate plane, we can use the formula for slope:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, let \((x_1, y_1) = (0, 0)\) and \((x_2, y_2) = (4, -6)\).

Substituting the values into the formula:

\[
m = \frac{-6 - 0}{4 - 0} = \frac{-6}{4} = -\frac{3}{2}
\]

Thus, the rate (slope) of the graph is \(-\frac{3}{2}\).