QuestionCalculate the slope of the line connecting the points $(-4,9)$ and $(10,-6)$ .

Studdy Solution

STEP 1

Assumptions1. The line passes through the points $(-4,9)$ and $(10,-6)$ . We are using the formula for slope between two points in a Cartesian coordinate system.

STEP 2

The formula to find the slope (m) between two points $(x1, y1)$ and $(x2, y2)$ is given by $m = \frac{y2 - y1}{x2 - x1}$

STEP 3

Now, plug in the given values for the points into the formula. Let $(-,9)$ be $(x1, y1)$ and $(10,-6)$ be $(x2, y2)$ .
$m = \frac{-6 -9}{10 - (-)}$

STEP 4

implify the equation.
$m = \frac{-15}{14}$ The slope of the line through the pair of points $(-4,9)$ and $(10,-6)$ is $-\frac{15}{14}$ .

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