Undefined Slope Equation Example

Eqfrac 4 - -1 7 - 7 frac 5 0 eq This slope is undefined. The equation of a line with undefined slope will look like x something.

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When you see the slope is undefined then the line is a vertical line or at xa where a is the x-intercept.

Undefined slope equation example. Use the slope formula. If the line has an undefined slope and passes through the point 23 then the equation of the line is x2. In this case the line passes through -2 -6 and therefore the constant is the value of the x-coordinate.

Lets do one more. What is the equation of the vertical line through negative five comma negative two. Division by zero is always undefined.

It got its name undefined from the fact that it is impossible to divide by zero. If the slope of a line is undefined then the line is a vertical line so it cannot be written in slope-intercept form but it can be written in the form. A good real life example of undefined slope is an elevator since an elevator can only move straight up or straight down.

It consists of an infinite set of points all of which have 2 as the first value in the ordered pair. If we try to find the gradientslope of a vertical line with the gradient formula the result is an undefined answer as 0 will be the denominator. Since fx lnx is undefined at x 0 it cant have a tangent there.

In general when the x-values or x-coordinates are the same for both points the slope is undefined. So well go with undefined. Now we can see the issue.

Consider the line x 2. Since this is a vertical line it has no slope. In your specific example fx lnx at x 0 as others have pointed out you cant find the equation of the tangent line because to put it much more briefly you can only find the tangent line to points on the graph.

If the line has an undefined slope and passes through the point 23 then the equation of the line is x 2. It got its name undefined from the fact that it is impossible to divide by zero. Another example would be a graph in the shape of a V.

Two examples are shown below. The difference between Undefined Slope and Zero Slope is that an undefined slope means that it has a vertical line whereas on the other hand a horizontal line has zero slope. Undefined vs Zero Slope.

A good real life example of undefined slope is an elevator since an elevator can only move straight up or straight down. When given 2 points. A vertical line is going to have an undefined slope.

However it is impossible to do 50 because there exist no number you can multiply 0 by to get 5. Some might say its slope is infinite but mathematicians say its slope is undefined. Next find the equation of a vertical line passing through the point eq -1 -2 eq.

If the slope of a line is undefined then the line is a vertical line so it cannot be written in slope-intercept form but it can be written in the form. It got its name undefined from the fact that it is impossible to divide by zero. Since you can use any two points to calculate the slope of the line we can then apply the slope formula using x 1 y 1 4 1 and x 2 y 2 4 2.

In this case the line passes through -2 -6 and therefore the constant is the value of the x-coordinate. X a where a is a constant. An undefined slope indicates that we have a vertical line parallel to the y-axis and passing through all points in the plane with an x-coordinate constant c The equation is written in the form x c.

It got its name undefined from the fact that it is impossible to divide by zero. However it is impossible to do 50 because there exist no number you can multiply 0 by to get 5. 2 3 1 1 2 3 1 1 bf frac 2space-space -3 -1space-space -1 1 12 3.

Xa where a is a constant. This video shows how to find the equation of a line passing through a point with an undefined slope. An undefined slope indicates that we have a vertical line parallel to the y-axis and passing through all points in the plane with an x-coordinate constant c The equation is written in the form x c.

But thats why its undefined. So what should you do. Since the two x-values were the same the denominator of the slope ends up being 0.

So let me do this without even drawing it. In such cases an undefined and zero slope comes into existence wherein the numerator or the denominator is zero. A good real life example of undefined slope is an elevator since an elevator can only move straight up or straight down.

However it is impossible to do 50 because there exist no number you can multiply 0 by to get 5. Since division by 0 is undefined the slope of the line is undefined. 25 slopeundefined Step 1.

If your line has an undefined slope you wont be able to write the equation of the line in the usual slope-intercept form. Write the slope intercept form of the equation of the line through the given point with the given slope. A linear equation with an undefined slope is an equation where when graphed forms a vertical line.

2 4 27 The x-values are the same while the y-values differ which would create a vertical line when the points are graphed. A good real life example of undefined slope is an elevator since an elevator can only move straight up or straight down.

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