I am supposed to find the slope and y intercept of x=-9

Just waned to verify, but the line would be vertical and so the slope is undefined, but because the line never croses the y-axis how would you verbially say this. Would the y intercept be undefined or never or (i don't know the correct termonology)

Thanks!

The slope is infinity. The y-axis intercept does not exis. Your terminology seems fine to me.

To find the slope and y-intercept of the equation x = -9, we need to understand that this equation represents a vertical line. In a typical linear equation in the form y = mx + b, where m represents the slope and b represents the y-intercept, x cannot be equal to a specific value like -9 for a non-vertical line.

In the case of a vertical line, its slope is considered undefined because the line is vertical and does not have a horizontal change (Δx). This is different from the usual concept of slope, where it represents the rate of change of y with respect to x.

Regarding the y-intercept, a vertical line does not intersect with the y-axis at any point. Therefore, we can say that the y-intercept does not exist or is undefined. Both ways of expressing it are correct and convey the understanding that a vertical line does not have a y-intercept.

To summarize, for the equation x = -9, the slope is undefined, and the y-intercept does not exist or is undefined due to the line being vertical and not intersecting the y-axis.