I need some help with homework ...y-intercept of 4x+3y=60?

Answer 1

y intercept occurs where x = 0 (that's the y-axis)
0 + 3y = 60
y = 20

Answer 2

Okay, here goes. I may not be a top contributer but I'm rarely wrong:
The y-intercept is the point on a line where it crosses the y axis. The y axis is the vertical line.

first things first though; put the equation into slope intercept form.
to do that:
1)remember that when putting and equation into slope intercept form, y always needs its bubble space. so subtract a negative 4x from both sides.

4x+3y=60
-4x -4x
the 4x and the -4x cancel each other out

you end up with:

3y=-4x+60
divide both sides by 3:
3/3y=-4/3x+60/3

now you get:
3 divided by 3 is 1
you leave -4/3 as is
and 60 divided by 3 is 20
so your answer is:
y= -4/3x+20

this is slope -intercept form
and this is slope-intercept formula: y=mx+b
where the b is the y-intercept
and m is the slope
the x is the x that comes after the number the slope is
such as in the equation y= -4/3x+20
see the x?
good. it's just there to tell you the difference between the slope and the y-intercept. The slope is the one with the x after it.

and so, you can conclude that the y-intercept is none other than 20.
so y=20!

______________________________________________
another, and much more easier way for me:
1) "Cover" the variable you aren't solving for with you finger or something . In this case, you aren't solving for 4x. So cover that.
Another way would be to just replace the x with a 0.
4 times 0= zero

2) Now, all you can see (or are left with) is 3y=60
Divide both sides by 3 in order to isolate the variable y.

3) Your answer is y=20
So your y-intercept is 20! :-)

I hope i helped; and I'm sure about this answer. if you have any more questions, feel free to contact me and send me an email.
p.s. I'm 13 but I'm crazy good at math. I'm in Math 1-4!!!

Answer 3

Hi,
One way that is typically used to find this information is to put the equation in the slope intercept form. That is this:
y = mx +b (Where b is the y-coordinate of the y-intercept.) So, let's do that:
4x +3y = 60
3y = -4x + 60 (Subtract 4x from both sides of the equation.)
y = -(3/4)x + 20 (Divide all terms by 3.)

Now, comparing this with y = mx +b, we have b = 20. That's the
y-inercept.
Of course, the point is (0, 20) since the intercept is at x = 0.

Hope this helps.
FE

Answer 4

4x+3y=60
Putx=0;
3y=60
y=20. This is the Y-intercept.

Answer 5

equation of a line with slope and y intercept is
y = mx + c ------ eqn (1)
where m = slope of the line
c = y - intercept
the given equation
4x + 3y = 60
arranging in the standard form
3y = -4x + 60
dividing by 3
y = (-4/3)x + 60/3
y = (-4/3)x + 20
comparing with eqn (1)
m = -4/3
c = 20
so slope of the given line = -4/3
y - intercept = 20

Answer 6

Hello

First of all solve for y.

Thus we have

3y = -4x+60

Divide by 3:
y = (-4/3)x + 20.

The y-intercept is the 20.

Hope this helps

Answer 7

y-intercept of 4x+3y=60 is
when x =0, so
3y = 60
or y = 20 is the y-intercept

Answer 8

the y intercept we would first of all make x=0 then solve the qyestion.

4*0+3y=60.

3y=60 so y =20.

but if we would x_intercept we make y =0 then solve the question.

Answer 9

4x+3y=60

4x/60 + 3y/60 =1

x/15 + y/20=1

--> y-intercept: (0, 20)
x-intercept (15,0)

Saludos.

Answer 10

the y intercept would be 3.