Question

What is the slope of the line through (-1,4) and (1,-2)

Answer 1

Answer:

-3

Step-by-step explanation:

Slope = change of x over change of y

6 over 2

3

line goes down so slope is negative

-3

Answer 2

The slope of the line passing through the given points (-1, 4) and (1, -2) is -3.

Given the following points:

• Points on the x-axis = (-1, 1)

• Points on the y-axis = (4, -2)

To find the slope of the line passing through the given points (-1, 4) and (1, -2):

The slope of a line is simply the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following 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 given points into the formula, we have;

$Slope. \;m = \frac{-2 \;- \;4}{1\; - \;[-1]}\\\\Slope. \;m = \frac{-6}{2}$

Slope, m = -3

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