Answer:
[tex]5y-4x=10[/tex]
Step-by-step explanation:
We have been given an equation [tex]y=\frac{4}{5}x+2[/tex]. We are asked to write our given equation in standard form.
We know that standard form of an equation is in form [tex]Ax+By=C[/tex], where A, B and C are constants.
First of all, we will bring x term to left of the equation as:
[tex]y-\frac{4}{5}x=\frac{4}{5}x-\frac{4}{5}x+2[/tex]
[tex]y-\frac{4}{5}x=2[/tex]
Now, we will multiply both sides of equation by 5 as:
[tex]y\cdot 5-\frac{4}{5}x\cdot 5=2\cdot 5[/tex]
[tex]5y-4x=10[/tex]
Therefore, our equation in standard form would be [tex]5y-4x=10[/tex].
