The equation of a line is given below.
2x - 6y=18
find the x-intercept and the y-intercept.
then use them to graph the line.
how do you get this answer

Equation: 2x - 6y = 18

Step-by-step solution:

• Find y

-> Move x to other side

-6y = 18 - 2x

-> Multiply both sides by (-1)

-(-6y) = -(18 - 2x)

6y = 2x - 18

-> Factor right side

6y = 2(x - 9)

-> Divide both sides by 6

y = (x-9)/3

-> Get minimum and maximum values by setting x and y to 0(x and y intercepts)

When x = 0,
y = (0 - 9) / 3
y = -9/3
y = -3

When y = 0,
0 = (x - 9)/3
0 * 3 = x - 9
0 = x - 9
x = 9
(x, y) = (9, -3)

Graph

4y - 6 + y^2 - 9 = y^2 + 4y - 15y^2 term terms- termstotal of 3 terms when simplified