Question

x +3y =6? use the x and y intercepts to graph each linear equation. please show all work.

Answer 1

whn x intercpets y = 0

whn y intercpets x = 0

Answer 2

x+3y=6

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

Multiply 3 by the 0 inside the parentheses.
x+3*0=6

Multiply 3 by 0 to get 0.
x+0=6

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

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

Remove the parentheses around the expression 0.
0+3y=6

Adding 0 to an expression does not change the value of the expression.
3y=6

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

Cancel the common factor of 3 in (3y)/(3).
(<X>3<x>y)/(<X>3<x>)=(6)/(3)

Remove the common factors that were cancelled out.
y=(6)/(3)

Cancel the common factor of 3 in (6)/(3).
y=(^(2)<X>6<x>)/(<X>3<x>)

Remove the common factors that were cancelled out.
y=2

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

Answer 3

the graph is a straight line with points at 2 on the y axis and 6 on the x axis so it slants down from left to right.