This fundamental idea means that you can choose any 2 points on a line. In other words, the slope of a line never changes. The name comes from 'quad' meaning square, So, the biggest clue is that highest power must be a square (in other words x 2). Below is a picture of a horizontal line - you can see that it does not have any 'rise' to it.ĭo any two points on a line have the same slope?Īnswer: Yes, and this is a fundamental point to remember about calculating slope.Įvery line has a consistent slope. Only if it can be put in the form ax 2 + bx + c 0, and a is not zero. Therefore, the slope must evaluate to zero. Therefore, regardless of what the run is (provided its' not also zero!), the fraction representing slope has a zero in its numerator. This is because any horizontal line has a $$\Delta y$$ or "rise" of zero. The picture below shows a vertical line (x = 1). Whenever zero is the denominator of the fraction in this case of the fraction representing the slope of a line, the fraction is undefined. This is because any vertical line has a $$\Delta x$$ or "run" of zero. Slope of vertical and horizontal lines The slope of a vertical line is undefined
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