Question

4.2.6 check your understanding
complete each statement.
the coordinates of the point where the line crosses the y - axis always have the form (x,0).
the coordinates of the point where the line crosses the x - axis always have the form (x,0).
if a line does not intersect the x - axis, the slope is equal to 0.

Explanation:

Step1: Recall y - axis intersection

The coordinates of the point where a line crosses the y - axis have the form $(0,y)$. So the statement "The coordinates of the point where the line crosses the y - axis always have the form $(x,0)$" is False.

Step2: Recall x - axis intersection

The coordinates of the point where a line crosses the x - axis have the form $(x,0)$ since the y - coordinate is 0 at the x - intercept. So the statement "The coordinates of the point where the line crosses the x - axis always have the form $(x,0)$" is True.

Step3: Recall slope concept

If a line does not intersect the x - axis, it is a vertical line. The slope of a vertical line is undefined, not 0. So the statement "If a line does not intersect the x - axis, the slope is equal to 0" is False.

Answer:

1. False
2. True
3. False