Answer:
The slope of the line that passes through (-4, 4) and (3, 2) is [tex]-\frac{2}{7}[/tex]
Step-by-step explanation:
Slope is a measure of the steepness of a line and is given by
[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
To find the slope of the line that passes through (-4, 4) and (3, 2) we use the slope formula as follows:
For the first point [tex]x_1=-4\\y_1=4[/tex] and for the second point [tex]x_2=3\\y_2=2[/tex]
Now, just plug the numbers into the formula, like this:
[tex]slope = \frac{2-4}{3+4}[/tex]
[tex]slope = \frac{2-4}{3+4}=-\frac{2}{7}[/tex]
