Respuesta :

Answer:

[tex]\huge\boxed{y=-3x+14}[/tex]

Step-by-step explanation:

[tex]y-2=-3(x-4)\\\\y-2=-3x+12\\\\y-2+2=-3x+12+2\\\\\boxed{y=-3x+14}[/tex]

First distribute the -3 through the parenthses

which gives us y - 2 = -3x + 12.

Move the number to the right side of the equation

by adding 2 to both sides to get y = -3x + 14.

Notice that the equation above is written in slope-intercept form because

the y term is isolated or by itself on the left side of the equation.