Question

Find the x -intercept and y -intercept of the line.
x-3y= 6

Answer 1

X-intercept: (6, 0)

Y-intercept: (0, -2)

Explanation:

To find the x-intercept, we will find what x equals when y equals 0.

Given:

x - 3y = 6

Substiute:

x - 3(0) = 6

Simplify:

x = 6

We will use a similar method for the y-intercept, but we will find what y equals when x equals 0.

Given:

x - 3y = 6

Substitute:

(0) - 3y = 6

Simplify:

-3y = 6

Divide both sides of the equation by -3:

y = -2

I have also graphed this line, see attached.