Slope plus one point is enough

In slope-intercept form y=mx+by = mx + b, the only missing value is the intercept bb.

If you already know the slope and one point (x1,y1)(x_1, y_1), substitute them into b=y1mx1b = y_1 - mx_1.

The graph helps you verify that the given point and the y-axis crossing belong to the same line.

Where this is useful

  • Rebuilding a line equation from graph or table information.
  • Checking homework steps when converting to slope-intercept form.
  • Verifying whether a line crosses the y-axis above or below the origin.