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.