Respuesta :
Answer:
y = [tex]\frac{4}{5}[/tex] x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{4}{5}[/tex] and c = - 6, thus
y = [tex]\frac{4}{5}[/tex] x - 6 ← equation of line
Step-by-step explanation:
Equation of line in slope intercept form is given as:
[tex]y = mx + c \\ where \: m = slope = \frac{4}{5} \\ c = y - intercept = - 6 \\ \\ \therefore \: y = \frac{4}{5} x + ( - 6) \\ \\ \therefore \: y = \frac{4}{5} x - 6 \\ \\ \therefore \: 5y =4x - 30 \\ \\ \huge \red{ \boxed{\therefore \:4x - 5y - 30 = 0 }}\\ is \: the \: required \: equation \: of \: line.[/tex]