Question

how do I graph each equation using its x and y intercept? 3x+2y=6

Answer 1

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Answer 2

In order to find the x intersection, you have to set y=0 in the equation. In the same way to find the y-intercection, make x=0, that is:

x-inter:
3x+2(0)=6
x=2 Answer 1

y-inter:
3(0)+2y=6
y=3 Answer 2

Answer 3

Feed in values of x so that y = 0
then do the same for values of y so tht x = 0
You will have two coordinate points and you then join a line through them.
Let x =0 then y = 3
Let y = 0 then x = 2
This gives the coordinates (0, 3)and (2, 0)

Answer 4

Thank you so much I really appreciate it. Excellent job!!

Answer 5

you're welcome

Answer 6

Do I do this problem the same way? y=x-2

Answer 7

yeah exactly the same way. This method works for any linear equation.

Answer 8

okay I think I got it enjoy your day

Answer 9

np

Answer 10

3x+2y=6

To find the x-intercept, substitute in 0 for y and solve for x.
3x+2(0)=6

Multiply 2 by each term inside the parentheses.
3x+0=6

Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
3x=6

Divide each term in the equation by 3.
(3x)/(3)=(6)/(3)

Simplify the left-hand side of the equation by canceling the common factors.
x=(6)/(3)

Simplify the right-hand side of the equation by simplifying each term.
x=2

To find the y-intercept, substitute in 0 for x and solve for y.
3(0)+2y=6

Multiply 3 by each term inside the parentheses.
0+2y=6

Combine all similar expressions.
2y=6

Divide each term in the equation by 2.
(2y)/(2)=(6)/(2)

Simplify the left-hand side of the equation by canceling the common factors.
y=(6)/(2)

Solve the equation.
y=3

These are the x and y intercepts of the equation 3x+2y=6.
x=2, y=3