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 6 comma 2 right parenthesis, left parenthesis negative 4 comma 6 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)

Answer 1

To find the slope of the line that connects the two points \((-6, 2)\) and \((-4, 6)\), we use the formula for the slope \(m\):

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

Here, we can assign:

• \((x_1, y_1) = (-6, 2)\)
• \((x_2, y_2) = (-4, 6)\)

Now, substituting the values into the slope formula:

\[ m = \frac{6 - 2}{-4 - (-6)} \]

Calculating the numerator:

\[ 6 - 2 = 4 \]

Calculating the denominator:

\[ -4 - (-6) = -4 + 6 = 2 \]

Now, substitute these values back into the slope formula:

\[ m = \frac{4}{2} = 2 \]

Thus, the slope of the line is \(2\).