Question

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

3

​ 3/5 ​

​−5/7 ​

​−1​

Answer 1

Answer : Third option is correct.

Step-by-step explanation:

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

`m=(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=(-1-4)/(4+3)\\\\m=(-5)/(7)`

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

`m=(-5)/(7)`

Answer 2

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