How do you solve and graph y equals -2x plus 7? - Answers

y = -2x + 7 is already solved in terms of y. You can solve in terms of x (i.e., make x equal something): y = -2x + 7 y - 7 = -2x -y/2 + 7/2 = x x = -y/2 + 7/2 but because there are two variables and only one equation, x (or y, for that matter) does not equal just one number. There are several methods you can use to graph this linear equation. My favorite is plotting two points and drawing a straight line between them. To find a point on the graph, plug some number in for x and solve. For example, when x is 0, y = -2x + 7 y = -2(0) + 7 y = 7. So when x=0, y=7. You can plot the point (0,7) on your 2D plane. Similarly, when x =1, y = 5. Plot the point (1, 5) on your 2D plane. Because this is a linear equation, you can draw a straight line that hits both of these points.