An Undefined Slope Math

A slope can also be found to be undefined with the other formula for finding the gradient m of a straight line m tan θ.

An undefined slope math. Undefined slope when there is no change in x as y changes the graph of the line is vertical. If you go from left to right and you don t go up or down it it a zero slope. Therefore the slope formula will always result in division by zero and therefore the slope will be undefined. As a result the formula used for slope has a denominator of 0 which makes the slope undefined.

Positive slope the line rises from left to right. Slope is a ratio that includes how y changes for every unit increase of x. This is also the case for all the lines above. As a vertical line will always make an angle the size of of 90 with the positive direction of the x axis.

Through 9 10 undefined slope this is a vertiucal line since the slope is underfined. The other possibilities when calculating the slope are. A vertical line has undefined slope because all points on the line have the same x coordinate. An undefined slope or an infinitely large slope is the slope of a vertical line.

We have seen how the slope of a line may be undefined. Instead you are dealing with a vertical line where the possibility is to either go up or down. Zero the line is horizontal of the form y c. There is no run.

Notice that for the line in the middle the x values are the same for both points x 1 x 2 1. A vertical line through the point has equation x a x intercept is 9 0 so the equation is x 9 60. Negative slope the line falls from left to right. Since there exist no number you can multiply 0 by to get 3 we say that the slope is undefined.

A graphical depiction is shown below. No slope the slope of a vertical line. Tan 90 undefined. A vertical line has undefined slope because all points on the line have the same x coordinate.

The slope formula uses two points x 1 y 1 and x 2 y 2 to calculate the change in y over the change in x. A slope is undefined if you neither move to the right nor to the left. As a result the formula used for slope has a denominator of 0 which makes the slope undefined. M y 1 y 2 x 1 x 2 m 4 1 3 3 m 3 0.

Undefined slope this is a vertiucal line since the slope is underfined. You could not compute the slope of this line because you would need to divide by 0.