The problem asks to find the slope and y-intercept of the line whose graph is shown. Then, we need to write an equation of the line. However, the graph is not provided in the image. Thus, it's not possible to provide the correct answer without the graph. Let's assume the slope is $m$ and the y-intercept is $b$.

AlgebraLinear EquationsSlopeY-interceptCoordinate Geometry
2025/3/6

1. Problem Description

The problem asks to find the slope and y-intercept of the line whose graph is shown. Then, we need to write an equation of the line. However, the graph is not provided in the image. Thus, it's not possible to provide the correct answer without the graph. Let's assume the slope is mm and the y-intercept is bb.

2. Solution Steps

Since the image doesn't show the graph, I can't determine the slope and y-intercept. However, I can describe the general procedure.
First, identify two distinct points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) on the line from the graph.
The slope mm can be calculated using the formula:
m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}
Next, find the y-intercept bb. The y-intercept is the y-coordinate of the point where the line intersects the y-axis. This occurs when x=0x = 0.
The equation of the line can be written in the slope-intercept form as:
y=mx+by = mx + b
If the graph was provided, we could read the coordinates of the points on the graph and compute mm and bb, then write the equation of the line.

3. Final Answer

Without the graph, it's not possible to provide a numerical answer. I can only give the equation in terms of slope mm and y-intercept bb.
y=mx+by = mx + b

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