Question

Find the slope of the line through (2, -3) and (-4, 3).

-1
0
1

Answer 1

ANSWER

-1

EXPLANATION

The slope formula is given by

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

The slope of the line through (2, -3) and (-4, 3) is found by substituting the points into the above formula;

$m = \frac{ - 3 - 3}{2 - - 4}$

This simplifies to

$m = \frac{ - 6}{ 6} = - 1$

The slope is -1

Answer 2

Answer:

-1

Step-by-step explanation:

The slope of a line is the ratio of its change in rise to its change in run. In the -xy-plane, this is the same as the ratio of the change in y coordinate to the change in x coordinate. In notation, we write this as

$\frac{\Delta y}{\Delta x}$

and calculate it by finding the difference between y coordinates and dividing it by the difference between x coordinates. Here, our y coordinates are 3 and -3, and our x coordinates are -4 and 2, so our slope would be

$\frac{3-(-3)}{-4-2}=\frac{3+3}{-6}=\frac{6}{-6}=-1$