- The equation y = -x + 3 has a slope of -1 and a y-intercept at (0, 3). The graph shows a line decreasing from left to right, crossing the y-axis at 3 and the x-axis at 3.
- The equation y = 2x - 1 has a slope of 2 and a y-intercept at (0, -1). The graph shows a steeply increasing line crossing the y-axis at -1 and the x-axis at 0.5.
- The equation y = -2x - 4 has a slope of -2 and a y-intercept at (0, -4). The graph shows a steeply decreasing line crossing the y-axis at -4 and the x-axis at -2.
- The equation y = 3x + 6 has a slope of 3 and a y-intercept at (0, 6). The graph shows a very steeply increasing line crossing the y-axis at 6 and the x-axis at -2.
- The equation 2x + 3y = 18 can be rewritten as y = (-2/3)x + 6. It has a slope of -2/3 and a y-intercept at (0, 6). The graph shows a gently decreasing line crossing the y-axis at 6 and the x-axis at 9.
- The equation 3x - 2y = -6 can be rewritten as y = (3/2)x + 3. It has a slope of 3/2 and a y-intercept at (0, 3). The graph shows a moderately increasing line crossing the y-axis at 3 and the x-axis at -2.
Parent Tip: Review the logic above to help your child master the concept of graphing lines in standard form worksheet.
