![]() Our run will be +3, as we must move 3 units to the right to reach the next coordinate point in our line.Ī slope can either be positive or negative.Ī positive slope rises from left to right.Ī negative slope falls from left to right.Ī straight horizontal line has a slope of zero. ![]() Our "rise" will be -2, as we must move down 2 units to reach the next coordinate point in our line. Now let us find the rise and run of the line. We can see here that our line hits the coordinates: $(-3, 4)$, $(0, 2)$, and $(3, 0)$. Wherever the grid meets at a corner, we will have coordinates that are integers. This will make life simpler when we go to find the slope. To find our slope, first start by marking the points where the line hits the grid at perfect integer coordinates. Here is a typical line, presented on the coordinate grid. You are probably most familiar with this concept by finding the “rise over run” to find the slope of a line. ![]() A slope is found by finding the change in distance along the y axis over the change in distance along the $x$ axis. It is made up of (and connects) a series of points together.Ī slope is the measure of the slant (steepness) of a line. Any place on this space is given a coordinate point-written as $(x, y)$-that indicates where the point is along each axis.Ī line (or line segment) is a completely straight marker with no curvature. This will be your complete guide to lines and slopes-what slopes mean, how to find them, and how to solve the many types of slope and line equation questions you’ll see on the SAT.īefore we start, you may want to take a moment to familiarize yourself with our guide to SAT coordinate points in order to refresh yourself on the basics of coordinate geometry.īasically, coordinate geometry takes place in the space where the $x$-axis and the $y$-axis meet. ![]() Now, we’ll look at the other aspect of lines, namely their slopes and equations. In our SAT guide to lines and angles, we dealt with parallel lines, perpendiculars, and the many different ways to find angle measures with two or more lines. ![]()
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