Use the image to answer the question.

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

1
1

8
8

−18
negative Start Fraction 1 over 8 End Fraction

18

Answer 1

To find the slope of the line that connects the two points \((-4, 7)\) and \((4, 8)\), we use the slope formula:

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

where \((x_1, y_1) = (-4, 7)\) and \((x_2, y_2) = (4, 8)\).

Plugging in the values:

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

So, the slope of the line is:

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

Given the choices, the correct response is:

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