Respuesta :

Answer:

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

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, set the given equation in slope intercept form:

[tex]3x + 15y = -60\\\\15y + 3x (-3x) = -60 (-3x)\\\\15y = -3x - 60[/tex]

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 15 from both sides of the equation:

[tex]15y = -3x - 60[/tex]

[tex]\frac{(15y)}{15} = \frac{(-3x - 60)}{15}[/tex]

Simplify:

[tex]y = \frac{-3x - 60}{15} = -\frac{1}{5}x - 4[/tex]

[tex]y =- \frac{1}{5}x - 4[/tex] is your answer.

~

Learn more about slope-intercept form, here:

https://brainly.com/question/20786109