# Find a if the point (3, a) is on the line that passes through (-2, 7) and (5, -3).

## Question:

Find {eq}a {/eq} if the point {eq}(3, a) {/eq} is on the line that passes through {eq}(-2, 7) {/eq} and {eq}(5, -3) {/eq}.

## Slope of a Line:

The slope of a line is by how much the line is rising according to the run. The slope of a line that passes through the points {eq}(x_1, y_1) {/eq} and {eq}(x_2, y_2) {/eq} is given by:

$$m= \dfrac{y_2-y_1}{x_2-x_1}$$

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The slope of a line through two points {eq}(x_1, y_1) {/eq} and {eq}(x_2,y_2) {/eq} is calculated using:

$$m= \dfrac{y_2-y_1}{x_2-x_1}$$

The...