Question

Find the slope between the points (1,3) and (5,9)

Answer 1

`m = (6)/(4) = 1 (2)/(4) = 1 (1)/(2) = 1.5`

Explanation:

Use rise over run. (
`(rise)/(run)`)

Your rise value is how much the y has gone up (or down) from one point to the next.
`y_(1) =3`
`y_(2) = 9`. You can figure out what your rise is by using the equation
`y_(2) -y_(1) = rise`. So, our rise is 6.

Now, solve for your run value. Your run value is how much the x has gone up (or down) from one point to the next.
`x_(1) =1`
`x_(2) = 5`. You can figure out what your run is by using the equation
`x_(2) -x_(1) = run`. So, our run is 4.

Now that we have our rise and run values, insert them into the fraction
`(rise)/(run)`, and simplify.
`(rise = 6)/(run = 4) = (6)/(4) = 1 (2)/(4) = 1 (1)/(2) = 1.5`

Hope this helps. Have a great day!

Answer 2

3/2

Explanation:

Slope is change in y over change in x (y2-y1 over x2-x1)

The change in y would be (9) - (3), which is 6.

The change in x would be (5) - (1), which is 4.

6/4 is also 3/2, which is the slope.