Subjects algebra

Line B Equation 17Ed19

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Line B Equation 17Ed19


1. **State the problem:** We need to find the equation of Line B in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 2. **Identify points on the line:** From the graph description, Line B passes through points $(-4, -8)$ and $(0, 4)$. 3. **Calculate the slope $m$:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-8)}{0 - (-4)} = \frac{12}{4} = 3$$ 4. **Find the y-intercept $b$:** Since the line passes through $(0,4)$, the y-intercept is $b = 4$. 5. **Write the equation:** $$y = 3x + 4$$ **Final answer:** The equation of Line B is $y = 3x + 4$.