Question

What is the slope of the line that passes through the pair of points? (-4, 4), (3, 2)

Answer 1

(-4,4) (3,2)
y2-y1
_____
x2-x1

2-4
____
3-_4


-2
__
1

=-2

Answer 2

The slope of the line that passes through (-4, 4) and (3, 2) is
`-(2)/(7)`

Explanation:

Slope is a measure of the steepness of a line and is given by

`slope = (y_2-y_1)/(x_2-x_1)`

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
`x_1=-4\\y_1=4` and for the second point
`x_2=3\\y_2=2`

Now, just plug the numbers into the formula, like this:

`slope = (2-4)/(3+4)`

`slope = (2-4)/(3+4)=-(2)/(7)`