The problem asks us to find the slope of a line given its graph, and it tells us that the y-intercept is $(0, 10)$.

GeometrySlopeLinear EquationsCoordinate Geometry
2025/3/6

1. Problem Description

The problem asks us to find the slope of a line given its graph, and it tells us that the y-intercept is (0,10)(0, 10).

2. Solution Steps

First, we need to identify two points on the line. From the graph, we can see that the line passes through the points (0,10)(0, 10) and (10,0)(10, 0).
Next, we can use the formula for the slope of a line given two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2):
m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}
Using the points (0,10)(0, 10) and (10,0)(10, 0), we can plug in the values:
x1=0,y1=10,x2=10,y2=0x_1 = 0, y_1 = 10, x_2 = 10, y_2 = 0.
m=010100=1010=1m = \frac{0 - 10}{10 - 0} = \frac{-10}{10} = -1

3. Final Answer

m=1m = -1

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