Slope of a Line Worksheets
What is the slope of a line? Learning about straight lines, one of the most important properties about them the way it angles away itself from the horizontal. This concept is perfectly reflected in something called 'the slope' of a line. In simpler terms, the slope measures the steepness of a line. It can be defined as the ratio of vertical change between two points. It can be denoted by the letter 'm' and it is a change in y when there is a unit change in x along the line. The slope is also known as the gradient of the line and it tells the steep in the line. Notice that for every increase of a single unit towards the right side, which is the horizontal x-axis, the line moves down half a unit. Therefore, it has a slope of -0.5. The slope of a point is represented by m, where (x1, y1) is one point and (x2, y2) is the second point. M = y2 – y1 / x2 – x1 Note that it is important to keep the x and y coordinates in their respective positions/order, that is, make sure the denominators and numerators are in place otherwise you will get the wrong slope.
"It is hard to convince a high-school student that he will
encounter a lot of problems more difficult than those of algebra and geometry."
-- Edward W. Howe