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 Graphs of Linear Equations Determine the slope of a line 1. Determine the slope of a line using the graph. The slope (also called: gradient) of a line is the ratio of the change in y compared to the change in x. $slope=\frac{change\;in\;y}{change\;in\;x}$ Look at the picture and determine the slope: 2. Determine the slope of a line from two points You can determine the slope of a line finding two points P(x 1,y1) and Q(x2,y2) on the line and using the following equation: $m=\frac{y_2-y_1}{x_2-x_1}$ Look at the picture and determine the slope: $m=\frac{1-2}{4-(-3)}=\frac{-1}{7}$ The slope (gradient) is m = If you cannot see the pictures, you must install the Plug-in from Java - Click here to download