Graphing a Line from Its Equation Worksheet with Answer Key

What's on the worksheet

1. Start at the y-intercept, step by the slope, and find the point you reach:
   y = 3x + 1; 4 steps to the righty = \dfrac{2}{3}x - 1; 3 steps to the righty = -\dfrac{5}{2}x + 4; 2 steps to the lefty = -0.6x + 2; 2 steps to the righty = \dfrac{7}{4}x; 3 steps to the left
2. Write equations for the four sides of a rectangle and give their slopes.
3. Find the intercepts of a line from its equation and graph it by stepping.
4. Mei repeats a step of 3 left and 2 down: find the point and write the line's equation.
5. Check Noah's rewritten equation and the plotted points on his graph.
6. Explain why a fractional y-intercept is a poor place to start stepping, and find a better point.
7. Word problem: the height of a submarine rising from 72 meters below the surface.