what is the y-intercept of the graph of the given line by the equation 3y+4x=15

A;5
B; 4
C: 3
D: -4 over 3
@Rhystic

Question

what is the y-intercept of the graph of the given line by the equation 3y+4x=15 

A;5
B; 4
C: 3
D: -4 over 3 
@Rhystic

nnesha · Answer

y = mx + b this is slope intercept form
where m is slope which is always with x
and b is y-intercept 
so you have to solve for y

rhystic · Answer

so its linear but you need to solve out for y first. 3y = 15- 4x  -> divide by three and then you have your y intercept

anonymous · Answer

ok so divide -15 by 3 ?

rhystic · Answer

15 by 3 yes. its not negative the 4x becomes negative because you had to bring it over to the right side.

anonymous · Answer

ok so 3 divided by 3 is 5 so -4x=5?

rhystic · Answer

no no so you have 3y = 15 - 4x you want to solve for y so you divide everything by three leaving you with y = 15/3 - 4x/3. remember that the equation of a line is y = mx + b so your y intercept is the number with neither y or x which is 15/3 so your answer is what?

anonymous · Answer

5?

rhystic · Answer

5 is correct. but -4x = 5 is not. your y intercept is 5 so the equation becomes y = 5 - 4x/3 and b = 5 your y - intercept.

anonymous · Answer

ok got it y-intercept thanks for the help @Rhystic  @Nnesha