Do Undefined Slopes Have Y Intercept?

As shown above, whenever you have a vertical line your slope is undefined. Now let's look at the y-intercept. Looking at the graph, you can see that this graph never crosses the y-axis, therefore there is no y-intercept either.

How do you find the y-intercept when the slope is undefined?

y=mx + b When the equation is in this form, the coefficient of x will be the slope and the y-intercept will be (0,b). If the denominator of the fraction is 0, the slope is undefined. This occurs if the x value is the same for both points.

Can the y-intercept be undefined?

If a line has no y-intercept, that means it never intersects the y-axis, so it must be parallel to the y-axis. ... This slope of this line is undefined. If the line has no x-intercept, then it never intersects the x-axis, so it must be parallel to the x-axis.

James H. Sterling

James H. Sterling

Environmental Science & Climate Journalist

James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.