Respuesta :

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

If two lines are parallel, we can conclude:

[tex]\begin{gathered} m1=m2 \\ \end{gathered}[/tex]

Rewrite the first equation in the slope intercept form:

[tex]\begin{gathered} 4y=5x-4 \\ y=\frac{5}{4}x-1 \end{gathered}[/tex]

From this equation we can conclude:

[tex]m1=\frac{5}{4}[/tex]

Let:

(x1,y1) = (-8,2)

Using the point slope equation:

[tex]\begin{gathered} y-y1=m2(x-x1) \\ m2=m1=\frac{5}{4} \\ y-2=\frac{5}{4}(x-(-8)) \\ y-2=\frac{5}{4}(x+8) \\ y-2=\frac{5}{4}x+10 \\ y=\frac{5}{4}x+10+2 \\ y=\frac{5}{4}x+12 \end{gathered}[/tex]