Question

Find the slope of the line that passes through (10, 63) and (94, -7).

Answer 1

The slope is
`-(5)/(6)`

Explanation:

Hi there!

We are given two points: (10, 63) and (94, -7)

We want to find the slope that passes through these lines

We can use the slope formula to find it

The formula for slope calculated from two points is
`(y_2-y_1)/(x_2-x_1)`, where
`(x_1, y_1)` and
`(x_2, y_2)` are points

We have everything needed to find the slope, let's just label their values to avoid confusion:

`x_1=10\\y_1=63\\x_2=94\\y_2=-7`

Now substitute these values into the formula:

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

m=
`(-7-63)/(94-10)`

Subtract the numbers:

m=
`(-70)/(84)`

Divide:

m=
`-(5)/(6)`

The slope of the line is
`-(5)/(6)`

Hope this helps!