Question

Use the image to answer the question.

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

18
Start Fraction 1 over 8 End Fraction

8
8

1
1

−18
negative Start Fraction 1 over 8 End Fraction
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Answer 1

To find the slope of the line given two points, we use the slope formula:

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

Here, the two points are \( (-4, 7) \) and \( (4, 8) \).

Assigning the points:
- \( (x_1, y_1) = (-4, 7) \)
- \( (x_2, y_2) = (4, 8) \)

Now, we can substitute these values into the slope formula:

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

Calculating the differences:

\[
m = \frac{1}{4 + 4} = \frac{1}{8}
\]

Thus, the slope of the line is:

\[
\frac{1}{8}
\]

Therefore, the answer is \( \text{Start Fraction } 1 \text{ over } 8 \text{ End Fraction} \).