Question

What is the slope of the line passing through the points (−3, 4) and (4, −1)?

Answer 1

Answer : Third option is correct.

Explanation:

Since we know the formula of two point slope form i.e.

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

Since we have given two points are (-3,4) and (4,-1)

where

$x_1=-3\\x_2=4\\y_1=4\\y_2=-1$

Now we apply the formula ,

$m=\frac{-1-4}{4+3}\\\\m=\frac{-5}{7}$

So, slope of this line passing through the points (-3,4) and (4,-1) is given by

$m=\frac{-5}{7}$

Answer 2

Slope:y2-y1/x2-x1
-1-4/4-(-3)
-5/4+3
-5/7