Question

Find the slope of the line that passes through Point A (-1, -6) and Point B (-7, -3), using the formula m= y2-y1/x2-x1.

Answer 1

The slope to the given points A at (-1,-6) and B at (-7,-3) is
`-(1)/(2)`

Therefore slope is
`m=-(1)/(2)`

Explanation:

Given points are A at (-1,-6) and B at (-7,-3)

To find the slope of the given two points :

Let
`(x_1,y_1) and (x_2,y_2)` be the given points A at (-1,-6) and B at (-7,-3) respectively

By using the formula Slope m
`=(y_2-y_1)/(x_2-x_1)`

Now substitute the points in the above equation we get

m
`=(-3-(-6))/((-7)-(-1))`

`=(-3+6)/(-7+1)`

`=(3)/(-6)`

`=-(1)/(2)`

Therefore
`m=-(1)/(2)`

The slope to the given points A at (-1,-6) and B at (-7,-3) is
`-(1)/(2)`

Therefore slope
`m=-(1)/(2)`