Question

Write an equation of the line below​

Answer 1

y = 3/5 + 4

Explanation:

Given Coordiantes:

(0,4) - Y-intercept

(5,7) - Coordinates

To make an equation, first find the slope.

`m=(rise)/(run) =(y)/(x)`

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

`m=(7-4)/(5-0)`

`m=(3)/(5)`

In decimals:

`m = 0.6`

Now convert to point slope.

`y-y_(1) =m(x-x_(1) )`

`y-4=(3)/(5) (x-0)`

In decimals:

`y-4=0.6(x-0)`

Now convert to slope-intercept form.

Find the Equation of the Line:

`y=mx+b`

by solving for y using the Point Slope Equation.

y = 3/5 + 4