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

The x intercept is 9 and the y is 3

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