Question

Find the slope of the line passing through the points (-3,7) and (2,-6)

Answer 1

Answer:

$-\frac{13}{5}$

Step-by-step explanation:

by using formula $\frac{y_2-y_1}{x_2-x_1}$, we get

$\frac{-6-7}{2-(-3)}=-\frac{13}{5}$

Answer 2

The slope of the line passing through the given points (-3, 7) and (2, -6) is $\frac{-13}{5}$.

Given the following points:

• Points on the x-axis = (-3, 2)

• Points on the y-axis = (7, -6)

To find the slope of the line passing through the given points (-3, 7) and (2, -6):

The slope of a line is the gradient of a line and it represents both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is calculated by using this formula;

$Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the points into the formula, we have;

$Slope. \;m = \frac{-6 - 7}{2 - [-3]}\\\\Slope. \;m = \frac{-13}{2\; + \;3}\\\\Slope. \;m = \frac{-13}{5}$

Therefore, the slope of the line passing through the given points is $\frac{-13}{5}$.

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