In slope-intercept form the equation already tells you where to start and how to move. The constant b is the y-intercept, the point where the line crosses the vertical axis. The coefficient m is the slope: rise over run.
DeltaMath grades the line, not your specific points, so any two correct lattice points earn full credit. Choosing the intercept and one slope step is the fastest reliable method.
How to solve it, step by step
Plot the y-intercept (0, b)
For y = −3/2 x + 4, place the first point at (0, 4).
Write the slope as a fraction
m = −3/2 means rise −3 (down 3) and run 2 (right 2). A whole-number slope such as 2 is 2/1: up 2, right 1.
Step from the intercept to the second point
From (0, 4) move down 3 and right 2 to land on (2, 1). Place the second point there.
Check with a third point mentally
One more step gives (4, −2). If that also lies on your line, the graph is correct.
Worked example
Graph y = −3/2 x + 4.
- b = 4 → first point (0, 4)
- m = −3/2 → down 3, right 2
- Second point: (0 + 2, 4 − 3) = (2, 1)
- Check: (4, −2) also satisfies −3/2(4) + 4 = −6 + 4 = −2 ✓
Answer Line through (0, 4) and (2, 1)
Mistakes DeltaMath marks wrong
- Plotting b on the x-axis instead of the y-axis.
- Applying a negative slope as up-and-left instead of down-and-right (both are correct, but mixing them is not).
- Treating slope 2 as up 2, right 2.
- Placing the second point one square off because the run was counted from the wrong starting square.
How to type the answer
- Click the grid to place exactly two points; DeltaMath draws the line through them.
- Drag a point to fix it before submitting.
- If the equation is not in slope-intercept form (e.g. 2x + y = 6), solve for y first.