Graph the line passing through the given point and having the ind...

Question

Graph the line passing through the given point and having the indicated slope. Plot two
points on the line. See Example 7. through (9/4 , 2), undefined slope

Accepted Answer

Hello everybody, how we're doing? All right, today, today we're gonna be looking at this math question that's telling us that a line has an undefined slope and passes through the 0.3 fifth comma 11, identify two points and graph this line. Now they provide us with four different graphs in our answer choices. With letter A being the graph of a horizontal line passing through zero, comma negative 3/5 and 11 comma negative 3/5 B is the same as A but passing through zero, comma positive 3/5 and 11 comma positive 3/ C is a vertical line passing through 3/5 comma 11 and 3/5 comma zero and D is the same as C except passing through points negative 3/5 comma 11 and negative 3/5 comma zero. Now, first thing we got to look at is the slope. They tell us we have an undefined slope. So what is slope? Well, slope is equal to the change in Y. So delta Y over the or divided by the change in X. So delta XX. So slope is equal to delta Y divided by delta X. Now we're looking at a que uh at an equation like this, we know that we have a limitation in the denominator. For example, if the denominator is equal to zero, we can't divide by zero. So let's say if delta X equals zero, then slope is undefined because we cannot divide by zero. So right away when we see that they tell us we have an undefined slope, we know that the delta X will be zero. That means that the change in X will be zero. And for a line to have no change in X, that means that the line has to be a vertical line, it changes in Y values but not in X values. Therefore, we can right away eliminate answer choice A and answer choice B. Now, the next step here is they tell us that it passes through the point 3/5 comma 11. Both of those are positive. And now we look at letter and answer choice C and they told us in the answer choice C that it passes through that exact same point 3/5 comma 11. And because it's a vertical line, it'll pass through 3/5 again, but just lower down where they tell us 3/5 come in zero. So that leaves us with answer choice C as the answer to our question. So I hope that was helpful. And until next time

Graph the line passing through the given point and having the indicated slope. Plot two points on the line. See Example 7. through (9/4 , 2), undefined slope

Key Concepts

Slope

Graphing a Line

Coordinate System

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