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Find the slope of this

October 20, 2026Mathematics

ScanSolve AI Answer

Answer

-1

2 steps

To find the slope of the line, we can select two distinct points on the line and use the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ .

Identify two points on the line
From the graph, we can clearly identify two points where the line intersects the grid lines at integer coordinates:
Point 1: The line crosses the y-axis at $(0, 2)$ . So, $x_1 = 0$ and $y_1 = 2$ .
Point 2: The line crosses the x-axis at $(2, 0)$ . So, $x_2 = 2$ and $y_2 = 0$ .
Calculate the slope using the formula
Substitute the coordinates of the two points into the slope formula:
$m = \frac{y_2 - y_1}{x_2 - x_1}$ $m = \frac{0 - 2}{2 - 0}$ $m = \frac{-2}{2}$ $m = -1$
The slope of the line is -1.

The slope of the line is $-1$ .

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