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 8 comma 0 right parenthesis, left parenthesis 0 comma 4 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

−12
negative Start Fraction 1 over 2 End Fraction

4
4

12
Start Fraction 1 over 2 End Fraction

2

Answer 1

To find the slope of the line given the two points \((-8, 0)\) and \((0, 4)\), we can use the formula for the slope \(m\), which is:

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

Assigning the points:

• Point 1: \((x_1, y_1) = (-8, 0)\)
• Point 2: \((x_2, y_2) = (0, 4)\)

Now substituting in the values:

\[ m = \frac{4 - 0}{0 - (-8)} = \frac{4}{0 + 8} = \frac{4}{8} = \frac{1}{2} \]

Therefore, the slope of the line is:

\(\frac{1}{2}\)

Thus, the answer is:

Start Fraction 1 over 2 End Fraction