*y*=m

*x*+b), first graph the y-intercept (b) on the

*y*-axis (the vertical one). For example, if b is -5, then graph a point on the

*y*-axis at (0, -5). One thing to always remember: at the

*y*-intercept,

*x*is

**always**equal to zero, or you wouldn't be intersecting the

*y*-axis. From that point, use the slope (m) to graph the next point. Slope is a ratio of the change in the vertical or dependent variable to the horizontal or independent variable. This may be your mistake; since we graph points horizontally and then vertically, it is often difficult to remember that slope is a ratio of vertical change over horizontal change. For example, if your y-intercept is -5 and your slope is -2/3, from -5 go down 2 and to the right 3. That will be a second point on your line, and you only need two points to define a line. You can then draw the line with a ruler. Do the same for the second line, and it should intersect at the solution if the slopes are different (see the last post). In standard form, Ax + By = C, the easiest thing to do is substitute 0 in for x and solve for y. That will give you one of your two points (0, y). Then substitute 0 in for y. That will give you a second point (x, 0). Again, use a ruler to draw your lines and find their intersection if there is a common solution to both equations.