When you know one point on a line and its slope, you can graph the whole line: plot the given point, then use the slope as rise over run to find a second point, and draw a line through both. See a full worked example using the point (1, 2) and a slope of 3.
Graphing from a point and a slope
If you know one point on a line and its slope, you can graph the whole line without an equation in slope-intercept form. Plot the given point first, then use the slope (rise over run) to find a second point.
Worked example
Given the point (1, 2) and a slope of 3: plot (1, 2) first. A slope of 3 means rise 3, run 1, so from (1, 2) move 1 unit right and 3 units up to reach (2, 5). Draw a line through both points.
Graphing a line from the point (1, 2) and a slope of 3.
When this method is useful
This approach is handy whenever a problem gives you a point and a slope directly, without asking you to write the equation first. It connects to graphing from slope-intercept form, since both use the same rise-over-run idea, to finding x- and y-intercepts once the line is drawn, and to the midpoint formula for finding the point exactly between two others.