find the x-intercept and y-intercept of the equation 5x-3y=30?

Answer 1

x-intercept is when y=0 (the x-axis is the line y=0):

5x - 3y = 30
5x - 3*0 = 30
x = 6

similarly, the y-intercept is when x=0:

5x - 3y = 30
5*0 - 3y = 30
y = -10

Answer 2

Remember the intercepts are where the line crosses that particular axis. If it's crossing the x axis, then the point looks like (x,0) because it can only be on that line if y has no value.

So, for the x intercept, set y = 0, and solve for x:

5x-3(0)=30

And, for the y intercept, set x = 0, and solve for y:

5(0)-3y=30

You get two answers then, two points, of the form (x, 0) and (0, y).

When you solve this equation for x and y like above, you should get (6, 0) and (0, -10).

Answer 3

Definitions:
x-intercept... that's where the graph crosses the x axis... (x,0)
y-intercept... that's where the graph crosses the y axix... (0,y)

5x-3y=30

A couple of ways to approach this.

First, and probably easiest is to let x=0 and solve for y, and then let y=0 and solve for x.
x=0: -3y=30
Multiply both sides by -1/3
y = -10
So the y-intercept is (0,-10)

y=0: 5x=30
Multiply both sides by 1/5
x=6
So the y-intercept is (6,0)

Another approach is to put the equation in slope-intercept form: y=mx+b where m is the slope and (0,b) is the y-intercept. To find the x intercept set y=0 and solve for x.
5x-3y=30
Add -5x to both sides
-3y = -5x+30
Multiply both sides by -1/3
y = 5x/3 - 10
Clearly, when x=0, y= -10
Thus, the y-intercept is (0, -10)

If you let y=0, then
5x/3 - 10 = 0
Add 10 to both sides
5x/3= 10
Multiply both sides by 3/5
x = 6
Thus, the x-intercept is (6,0)

Answer 4

First: find the x-intercept - replace "0" with the "y" variable.

5x - 3y = 30
5x - 3(0) = 30
5x - 0 = 30
5x = 30

*Divide both sides by 5 (when you move a term to the opposite side, always use the opposite sign).

5x/5 = 30/5
x = 6

SEc: find the y-intercept - replace "0" with the "x" variable.

5x - 3y = 30
5(0) - 3y = 30
0 - 3y = 30
-3y = 30

*Divide both sides by -3.

-3y/-3 = 30/-3
y = -10

x-intercept = 6
y-intercept = -10

Answer 5

write in this form mx + b = y
you know that m is the slope, and b is the y intercept
5x -30 =3y then 5/3x - 10 = y the y intercept is -10

To find the x-intercept:

0 = mx + b. Solving for x we have x = -b/m. then 10/(5/3)
the x intercept is 6

Answer 6

1. To find x-intercept, let y=0
5x = 30 ==> x = 6

2. to find y-intercept, let x = 0
-3y = 30
y = -10

Answer 7

x intercept is obtained by setting y = 0

then 5x = 30, x intercept = 6

Y intercept is obtained by setting x = 0

the -3y = 60

y intercept = - 20

Answer 8

x=6 and y=-10

Answer 9

divide 30 by the coefficient in front of the x for the "x" intercept. Do the same but with the coefficient in front of the y for the "y" intercept.

Answer 10

set x= 0 to find the y-intercept
5x-3y=30
5(0)-3y=30
-3y=30
y=-10

set y = 0 to find the x-intercept
5x-3y=30
5x-3(0)=30
5x=30
x=6