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A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)
Responses

8
8

1
1

−18
negative Start Fraction 1 over 8 End Fraction

18
Start Fraction 1 over 8 End Fraction
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To find the slope of the line connecting the points \((-4, 7)\) and \((4, 8)\), we can use the formula for the slope \(m\):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Where:
- \((x_1, y_1)\) is the first point \((-4, 7)\)
- \((x_2, y_2)\) is the second point \((4, 8)\)

Substituting the coordinates into the slope formula:

\[
m = \frac{8 - 7}{4 - (-4)} = \frac{1}{4 + 4} = \frac{1}{8}
\]

Thus, the slope of the line is:

\(\frac{1}{8}\)

Therefore, the correct response is:

\( \frac{1}{8} \)