The equation of a line is -6x - 2y = -18. What is the x-intercept of the line?

Solution:

Given, the equation of a line is -6x-2y= -18

-6x - 2y = -18

Divide the above equation,

x/3 + y/9 = 1

It is of the form x/a + y/b = 1, where a is x-intercept and b is y-intercept

⇒ x - intercept = (3, 0)

Aliter

-6x - 2y = -18 ----(1)

We know that x-intercept is a point on the x- axis where the line cuts the x-axis. 

At this point y = 0, substitute in (1)

-6x - 2(0) = -18

x = 3

∴ x-intercept = (3, 0)

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The equation of a line is -6x - 2y = -18. What is the x-intercept of the line?

Summary:

The equation of a line -6x - 2y = -18, the x-intercept of the line is (3, 0).