Question

The x-intercept is the x-coordinate of the point where a graph crosses the x-axis.What is the slope of a line that has a y-intercept but no x-intercept?Explain.

Answer 1

If there is no x intercept and a y intercept, it is a a line with 0 slope. If there is a x intercept and not y intercept, its an undefined line. Remember Mr. Slope guy?

Answer 2

slope = 0

Explanation:

Given that the line has no x intercept. This means that the line does not intersect the x-axis at all. This can happen only if the line is parallel to the x axis. The line does have a y intercept. Si the line does intersect the y axis.

When a line is parallel to the x axis, its slope is 0.

Expressing the equation of the line in intercept format :

y = mx + c , where m is the slope and c is the intercept

In this case, the slope m is 0 .

So the equation becomes y = c.