Question

Find the slope of the line:

Answer 1

The slope of the line is...

-5/6

Step-by-step explanation:

To find the numerator:

Start from the point on the left and count downwards until you get to the same "level" as the other point. The number counted is the numerator.

In this case, the numerator is 5.

To find the denominator,

Go to the right, in the direction of the other point and count. The number would be 6.

Since the line itself is going downwards from left to right, the slope is negative.

In another case, if the line was going upwards from left to right, the slope would be positive.

I hope this helped. Have a good new year! :)

Answer 2

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

Step-by-step explanation:

Pre-Solving

We are given two points, (-3, 3) and (3, -2).

We want to find the slope (m) of the line.

Through two points, the slope can be found using
`(y_2-y_1)/(x_2-x_1)`, where
`(x_1, y_1)` and
`(x_2,y_2)` are points.

We can label the values of the points:

`x_1=-3\\y_1=3\\x_2=3\\y_2=-2`

Solving

Substitute the values into the formula.

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

`m=(-2-3)/(3--3)`

`m=(-2-3)/(3+3)`

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