= u n d e f i n e d = undefined = u n d e f in e dĪs we cannot divide by zero, the slope cannot be found. To test this, try it out on two points on the y = 1 y=1 y = 1 graph, and plug it into the slope formula. In this case, you'll find that the slope is not positive or negative. What happens when a line is neither increasing nor decreasing?įor example, if the equation of the line is: y = 1 y = 1 y = 1, the equation will look like a horizontal line that is parallel to the If not, you'll know that you must have made a mistake somewhere and should double check your answer.
If you have a positive answer for a slope, look to see if the graph given is increasing. This is relationship between the slope and the line that holds true at all times, so it can be useful when you need to double check your work. If you get a negative result for a slope, it means that the line is trending downwards, and thus decreasing. When a slope is positive, it indicates that a graph is increasing as the line progresses. You will get the same answer for the slope no matter which point you use first and second, as long as you keep the points you designate as first and second consistent. In the end, the two minus signs will cancel out, which shows that the order of the two points does not matter. If we take a point x1 and then subtract it by x2, it is the same as if we were to take -x2 and add it to x1. As long as you subtract the values in the same order, with the y y y's on the top and the x x x's on the bottom, you'll get the same answer. There is no rule that indicates which point you should designate as your first point or your second point. m denotes the slope, whereas the subscripts of 2 and 1 in the above x x x's and y y y's are used to differentiate between a point number "one" and a point number "two". A slope definition is just rise over run.
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