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.

Question

Find the slope of the line given its graph.

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Remaining Attempts : 3
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Answer 1

To find the slope of the line between the two points \((-6, 2)\) and \((-4, 6)\), we can use the slope formula:

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

Where:

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

Substituting the coordinates into the formula:

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

Calculating the differences:

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

Now substitute these values back into the slope formula:

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

Simplifying gives:

\[ m = 2 \]

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