Question

Plot the intercepts to graph the equation.
2x-3y=6

Answer 1

y - intercept is (0,2)

x - intercept is (3,0)

Explanation:

This is standard form.

Let x = 0

2x + 3y = 6

2(0) + 3y = 6

3y = 6 Divide both sides of the equation by 3

y = 2

The y intercepts is (0,2)

Let y = 0

2x + 3(0) = 6

2x = 6 Divide both sides of the equation by 2

x = 3

The x intercept is (3,0)

Answer 2

x-intercept (3, 0)

y-intercept (0, -2)

Explanation:

Finding the intercepts:

At x-intercept the y = 0. The line passes the x-axis.

2x -0 = 6

2x = 6

x = 6 ÷ 2

x = 3

x-intercept (3, 0)

At y-intercept, x = 0 . The line passes y-axis.

0 - 3y = 6

-3y = 6

y = 6 ÷ (-3)

y = (-2)

y-intercept (0 , -2)

Plot these two points in the graph and join the points.