Subjects algebra

Line Intercepts B0E5Fc

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1. **Problem:** Find the x- and y-intercepts of line "A" which has slope 0 and passes through (-5,12). 2. **Understanding the problem:** A line with slope 0 is horizontal. The equation of a horizontal line passing through a point $(x_0,y_0)$ is $y = y_0$. 3. **Equation of the line:** Since the slope is 0 and it passes through $(-5,12)$, the equation is: $$y = 12$$ 4. **Finding the intercepts:** - **Y-intercept:** The y-intercept is the point where the line crosses the y-axis (where $x=0$). Since $y=12$ for all $x$, the y-intercept is at $(0,12)$. - **X-intercept:** The x-intercept is where the line crosses the x-axis (where $y=0$). Since $y=12$ always, the line never crosses the x-axis, so there is no x-intercept. **Final answer:** - X-intercept: None - Y-intercept: $(0,12)$