what is the y-intercept of the graph of the line given by the equation 3y+4x=15
A. 5
B. 4
C. 4
D. -4/3

please walk me through on how to do this promblem

Respuesta :

You're y-intercept will be 4
you have 3y you need to divide 3y, 4x and 15 because you can have more than one y.
15 is you're intercept, now you will divide it by 3, so you're answer will be 4.

Answer:

Option A is correct.

y-intercept for the given equation is 5

Step-by-step explanation:

y-intercept: The graph that cut the y-axis

Substitute the value x= 0 and solve for y:

Given the equation: [tex]3y+4x=15[/tex]       ....[1]

By definition of y-intercept

Substitute the value of x = 0 in   [1] to solve for x:

Then;

[tex]3y+4(0)=15[/tex]

Simplify:

3y = 15

Divide both sides by 3 we get;

[tex]y =5[/tex]

Therefore, the y-intercept for the given equation is 5