Subjects algebra

Line Slope 54A892

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Line Slope 54A892


1. The problem states that we have a line passing through the points $(-2, -8)$ and $(2, 8)$. We need to find the slope of this line and represent the "rise" and "run". 2. The formula for the slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. Substitute the given points into the formula: $$m = \frac{8 - (-8)}{2 - (-2)} = \frac{8 + 8}{2 + 2} = \frac{16}{4}$$ 4. Simplify the fraction: $$m = 4$$ 5. The "rise" is the change in $y$, which is $16$ units (from $-8$ to $8$). 6. The "run" is the change in $x$, which is $4$ units (from $-2$ to $2$). 7. Therefore, the slope of the line in simplest form is $4$, which can also be expressed as the fraction $\frac{16}{4}$ simplified to $4$. Final answer: The slope of the line is $4$.