Point-Slope Form Calculator

Your details

Rise over run. Positive means the line goes up left-to-right.
x-coordinate of the known point on the line.
y-coordinate of the known point on the line.
Point-slope form
y - 1 = 2(x - 3)
Slope-intercept form (y = mx + b)y = 2x - 5
Standard form (Ax + By = C)-2x + y= -5
Slope (m)2
y-intercept (b)-5
x-intercept2.5
Angle of inclination63.4349deg
Parallel line slope2
Perpendicular line slope-0.5
Slope (m)2
y-intercept (b)-5
x-intercept2.5

Line through (3, 1) with slope 2: y = 2x - 5

  • The line rises left to right with slope 2, making a 63.4 degrees angle with the x-axis.
  • It crosses the y-axis at (0, -5) and the x-axis at (2.5, 0).
  • A perpendicular line through the same point has slope -0.5 (negative reciprocal of 2).
  • All three forms (point-slope, slope-intercept, standard) describe the same unique line.

Next stepPlug any x-value into the slope-intercept equation to find the matching y on the line.

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