Question

How do you find the slope of the line passing through the points (-7,3) and (3,8)?

Answer 1

`1/2`

Explanation:

`m=(y_1-y_2)/(x_1-x_2) or (y_2-y_1)/(x_2-x_1)`
`p_1(-7,3)`
`p_2(3,8)`
`m=(3-8)/(-7-3)=(-5)/(-10)=1/2`

Answer 2

Need to find the change in `x` and `y`
`Deltax=3--7=10`
`Deltay=8-3=5`

We know that slopes and gradients are merely just the rise over the run or the change in y over the change in x `(Deltay)/(Deltax)=5/10=1/2`

Answer 3

1/2

Explanation:

`m=(y_"2"-y_"1")/(x_"2"-x_"1")`

`m=(3-8)/(-7-3)= (-5)/-10=1/2`

Answer 4

The slope is `1/2`

Explanation:

Slope is defined as the change in y over x- `(Deltay)/(Deltax)`, or as my math teacher always said:

"The rise over the run"

(You rise vertically=(y-direction) and run horizontally= (x-direction)

This can be written as:

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

Then we just plug in your two points x and y values (which point you decide to allocate to 1 or 2 does not matter)

Slope=`(8-3)/((3)-(-7))=(5/10)=(1/2)`