The problem asks us to find the intercepts of a line, using its equation or any other method. However, the equation of the line is not provided in the image. Therefore, I can only describe how to find the intercepts given an equation. If the equation were provided, I could directly compute the intercepts. I will assume the equation is $y = mx + b$.

GeometryLinear EquationsInterceptsCoordinate Geometry
2025/4/23

1. Problem Description

The problem asks us to find the intercepts of a line, using its equation or any other method. However, the equation of the line is not provided in the image. Therefore, I can only describe how to find the intercepts given an equation. If the equation were provided, I could directly compute the intercepts. I will assume the equation is y=mx+by = mx + b.

2. Solution Steps

To find the y-intercept, we set x=0x = 0 in the equation of the line and solve for yy. The y-intercept is the point where the line crosses the y-axis, which occurs when x=0x=0. So, if the equation is y=mx+by = mx + b, substituting x=0x=0 gives y=m(0)+b=by = m(0) + b = b. Thus, the y-intercept is at (0,b)(0, b).
To find the x-intercept, we set y=0y = 0 in the equation of the line and solve for xx. The x-intercept is the point where the line crosses the x-axis, which occurs when y=0y=0. If the equation is y=mx+by = mx + b, setting y=0y=0 gives 0=mx+b0 = mx + b. Solving for xx gives mx=bmx = -b, so x=b/mx = -b/m. Thus, the x-intercept is at (b/m,0)(-b/m, 0).

3. Final Answer

If the equation of the line is y=mx+by = mx + b, then the y-intercept is (0,b)(0, b) and the x-intercept is (b/m,0)(-b/m, 0). Since the equation is not given, I can only describe how to calculate the intercepts in terms of the slope and y-intercept.

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