Question

Which is the slope of the line that passes through the points (-2, 4) and (5, -1)?

Answer 1

The slope is -5/7

Explanation:

you can solve it many ways but i solved it this way

you take ur y2 and y1 and set it over x2 and x1

you get -1-4 / 5- -2

simply it

and it gives you -5/7

Answer 2

The slope of the line passing through the points (-2, 4) and (5, -1) is
`(-5)/(7)`

Solution:

We know the slope intercept of the line is given by
`y = mx + c`, where m is the slope of the line and c is a constant

To find the value of ‘m’ we use the given formula

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

Here ,

`x_1= -2`

`x_2= 5`

`y_1= 4`

`y_2= -1`

Substituting the values in formula for m, we get

`m=(-1-4)/(5-(-2))`

`m=(-1-4)/(5+2))`

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

Therefore the slope of the line passing through the points (-2, 4) and (5, -1) is
`(-5)/(7)`