Question

Determine which of the following statements about the intercepts of a line are true. More than one correct answer is possible.

A) An x-intercept occurs where the line crosses the x-axis

B) An x-intercept occurs when y is zero

C) An x-intercept occurs when x is zero

D) An x-intercept occurs where the line crosses the y-axis

Answer 1

B) An x-intercept occurs when y is zero

and

C) An x-intercept occurs when x is zero

Answer 2

A) An x-intercept occurs where the line crosses the x-axis.

B) An x-intercept occurs when y is zero.

Explanation:

By definition, the intercepts of a line are the points where it crosses the two coordinate axes.

The point where a line crosses the y-axis is called "y-intercept".

The x-coordinate of the point where the line intersects the y-axis is zero (Observe the example attached)

The point where a line crosses the x-axis is called "x-intercept".

The y-coordinate of the point where the line intersects the x-axis is zero (Observe the example attached)

Therefore, based on this, you can conclude that these statements are true:

A) An x-intercept occurs where the line crosses the x-axis.

B) An x-intercept occurs when y is zero.