Respuesta :

Answer:

[tex]4x-5y=-10[/tex]

Step-by-step explanation:

we know that

The equation of the line in standard form is in the form

[tex]Ax + By = C[/tex]

where

A is a positive integer, and B, and C are integers

In this problem we have

[tex]y=\frac{4}{5}x+2[/tex] ----> equation of the line in slope intercept form

Convert to standard form

Multiply by 5 both sides

[tex]5y=4x+10[/tex]

[tex]4x-5y=-10[/tex]

Answer:

[tex]4x-5y=-10[/tex]

Step-by-step explanation:

The given equation is

[tex]y=\frac{4}{5}x+2[/tex]

Multiply through by 5.

[tex]\Rightarrow 5y=4x+10[/tex]

Group the variable terms on the left hand side.

[tex]\Rightarrow 5y-4x=10[/tex]

Or

[tex]\Rightarrow 4x-5y=-10[/tex]

The equation is now in the form: [tex]ax+by=c[/tex]. This is the standard form.