Question

Find the gradient of the straight line that passes through the points (5, −3) and (−2, 4).

Answer 1

Answer on Question #60406 – Math – Analytic Geometry

Question

Find the gradient of the straight line that passes through the points $(5, -3)$ and $(-2, 4)$.

Solution

The gradient of the linear function in one variable is equal to $k = \tan \varphi$, where $\varphi$ is the angle between the given line and the positive direction of the $x$-axis.

In this problem

$$k = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 + 3}{-2 - 5} = -1.$$

Answer: $-1$.

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