Question

Find the slope between the points. �. (5, −3) (7, 4)

Answer 1

Answer: slope is
`(7)/(2)` or 3.5

Explanation:

Slope =
`(y_2-y_1)/(x_2-x_1)` =
`(4-(-3))/(7-5)` =
`(7)/(2)`

Answer 2

`\boxed {\boxed {\sf m= (7)/(2) \ or \ 3.5 }}`

Explanation:

The slope formula is the change in y over the change in x.

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

In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We are given the points (5, -3) and (7,4). Therefore,

`x_1=5 \\y_1= -3\\x_2=7 \\y_2=4`

Substitute the values into the formula.

`m=(4--3)/(7-5)`

Solve the numerator.

• 4 - -3 = 4+3 = 7

`m=(7)/(7-5)`

Solve the denominator

• 7-5=2

`m=(7)/(2)`

`m=3.5`

The slope between the points is 7/2 or 3.5