Question

Find the slope that passes through e(1,2) f(4,7) plz add explanation

Answer 1

The slope that passes through the points is
`(5)/(3)`

Explanation:

Slope is basically how much y changes when x changes by some arbitrary value and affects the line's steepness and direction. To calculate the slope of a line given two points
`(x_1,y_1)` and
`(x_2,y_2)`, you use the formula
`m=(y_2-y_1)/(x_2-x_1)` where
`m` is the slope.

Therefore, the slope between
`E(1,2)` and
`F(4,7)` is:

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

`m=(7-2)/(4-1)`

`m=(5)/(3)`

This means that every time x increases by 3 units, y always increases by 5 units (which is the same as x increasing by 1 resulting in y increasing by 5/3 units).