Multiple Choice

What is the slope (rate of change) of the line in the graph show below?

A coordinate grid shows both the x- and y-axes from negative 5 to 5 and a line graphed connecting the labeled points left-parenthesis 0 comma 3 right-parenthesis and left-parenthesis 1 comma 1 right-parenthesis. The rise of the line equals negative 2, and the run of the line equals 1.
(1 point)
Responses

–2
–2

–1
–1

1
1

2

1 answer

The slope of a line (rate of change) is calculated by the rise over the run. According to the information provided, the rise of the line is -2 and the run of the line is 1. Plugging these values into the formula for slope (rise/run), we get:

Slope = rise / run = (-2) / 1 = -2

So, the slope of the line is -2. Therefore, the correct response is:

–2
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