Respuesta :

Answer:

[tex]y=\frac{6}{5}x-8[/tex]

Step-by-step explanation:

we know the slope (or m in y=mx+b) is 6/5 we just need to solve for b

we will do this by plugging in the required coordinates

-2=(6/5)*5+b

-2=6+b

-8=b

put it all together

Answer:

y = [tex]\frac{6}{5}[/tex] x - 8

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{6}{5}[/tex] , then

y = [tex]\frac{6}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y = [tex]\frac{6}{5}[/tex] x - 8 ← equation of line