Respuesta :

[tex]y=\frac{2}{5}x+3[/tex]

where

[tex]\begin{gathered} \text{slope}=\frac{2}{5} \\ y-\text{intercept}=3 \end{gathered}[/tex]

Explanation

the equation of a line in slope-intercept form is given by:

[tex]\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}[/tex]

Step 1

then, isolate y

[tex]-3+y=\frac{2}{5}x[/tex]

i) add 3 in both sides

[tex]\begin{gathered} -3+y=\frac{2}{5}x \\ -3+y+3=\frac{2}{5}x+3 \\ y=\frac{2}{5}x+3 \end{gathered}[/tex]

Hence, the answer is

[tex]y=\frac{2}{5}x+3[/tex]

where

slope=2/5

y-intercept=3

I hope this helps you