Question

Find the slope of the line that passes through (3, 2) and (7,5)

Simplify your answer and write it as a simplified fraction.

Answer 1

`(3)/(4)`

Explanation:

Slope is equal to the change in y over the change in x.

`m = (change \: in \: y)/(change \: in \: x)`

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .

`m = (y2 - y1)/(x2 - x1)`

Substitute in the values of x and y into the equation to find the slope.

`m = (5 - (2))/(7 - (3))`

Simplify.

`m = (3)/(4)`

Hence, the slope is 3/4.