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# Find the slope of the straight line passing through(a) $\mathrm{E}(-1,3)$ and $\mathrm{F}(3,11)$(b) $\mathrm{E}(-1,3)$ and $\mathrm{G}(4,-2)$(c) $\mathrm{E}(-1,3)$ and $\mathrm{H}(49,3)$

Solution

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PART A:

\begin{align*} m &= \dfrac{\Delta y}{\Delta x}\\ &= \dfrac{y_2-y_1}{x_2-x_1}\\ &=\dfrac{11-3}{3-\left(-1\right)}\\ &=\dfrac{8}{4}\\ &=2 \end{align*}

Calculate the slope of the line that passes through these two points by dividing the difference in the $y$-coordinates over the difference in the $x$-coordinates.

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