Undefined Slope Find the slope of the line containing 3 1 and 3 5

okay we can find the slope of the line that has these two points the first one is negative 3 comma 1 and then the second point is negative 3 comma 5 we are keeping two points therefore we have to use the slope formula and this is something that we have to remember stands for the slope and the formula tells us that we are going to have y2 minus y1 and this is over x2 minus x1 okay and when we have these two points let's just label the first point as x1 y1 and for the second point right here we'll label this as x2 and y2 and now we can just plug in this value into this formula accordingly so you will see this is going to give us the me write it down here y2 is 5 so just put down five right here and we are going to - minus the 1 value which is 1 and then this is going to be over x2 which is negative 3 right so let's put down negative 3 and then we are going to subtract 1 value is negative 3 so let me put down negative 3 and let me put on system on it and now we just have to work this out let's do the top first 5 minus 1 that's 4 and this is over under denominator this is what this is technically same negative 3 and then minus negative becomes plus 3 so what's negative 3 plus 3 the answer to that part is zero at the end this is what we have more over cero but what's the response for this the answer to that remember we can have 0 in the denominator this right here is and defined it okay if the syrup was on the top then the answer will be 0 but 0 is in the denominator in our case so this right here it's undefined it and how can we enter it slope that's indeed what does that mean here right here we have actually vertical line because when you have this point negative 2 comma 1 let me just read it down right here this is negative 3 this is 1 this is the first point which is this point and we also have negative 3 comma 5 that's there this is 5 here negative 3 comma 5 and you see when we connect the dots we end out with vertical line vertical line has undefined slope this is it