Question: Determine the slope of this line. (1 Point) [Graph of a line on a coordinate plane with the x-axis…

Determine the slope of this line. (1 Point)

[Graph of a line on a coordinate plane with the x-axis labeled as \( x \) and the y-axis labeled as \( y \). The line passes through the points (-4, -4), (-2, -2), (0, 0), (2, 2), and (4, 4).]

Solution

To find the slope of the line, use two points on the line. Identify two points: (-2, -2) and (2, 2). Use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Substitute the coordinates of the points into the formula: \[ m = \frac{2 - (-2)}{2 - (-2)} \] Simplify the expressions in the numerator and denominator: \[ m = \frac{2 + 2}{2 + 2} \] Simplify further: \[ m = \frac{4}{4} \] Calculate the slope: \[ m = 1 \] The slope of the line is 1.