Question

Question #4f52c

Answer 1

`m=2/3`

Explanation:

Slope is defined as:

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

where `m` is the slope. Plug into the formula:

`m=(9-5)/(4-(-2))`

This becomes:

`m=4/6`

Simplify to get:

`m=2/3`

Answer 2

Your slope is `2/3`.

Explanation:

The slope formula is `frac (y_2-y_1)(x_2-x_1)` Also known as rise over run because the y's (the up and down points) are over the x's the (left and right.)

The x and y refer to the x and y coordinates in the points in the problems. The 1 and 2 mean the first point for 1 and the second point for 2. It does not matter which one is first or second, as long as you are consistent (aka don't switch it once you start solving.)

So I'm making (-2,5) the first point, and (4,9) the second point.

`x_1 = - 2`, `x_2 =4` , `y_1 = 5`, and `y-2 = 9`

Double check by matching the does the x 1 and y1 form one of your points from the problem. Then you are good to keep going.

Plug into the slope formula
`frac(9 - 5)(4- (-2))`

Now if you see two subtractions signs...or a subtraction next to a negative sign change it into a positive. (I like to say two wrongs only make a right in math)

`frac(9 - 5)(4 +2)`

Add or subtract the numerators. Then do the same for the bottom.

the y's `9-5 = 4`
the x's `4+2 = 6`

Then put it back together as a fraction

`4/6`

Reduce the fraction if possible (remember if it's even, it can always be divided by 2)

`4/6 = 2/3`

So that's your slope: `2/3`.

Leave slopes either as whole numbers or fractions (improper fractions are okay here.)

Let me know if you have any other questions.