Draw From a Point
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 26 of 64.
You can draw a line from a point and a slope without any algebra. Start at the known point and use the slope to find a second point. For the line through (1, -2) with slope 3, move 1 to the right and 3 up from (1, -2) to reach (2, 1). Two points fix the line, so draw the line through (1, -2) and (2, 1).
A negative slope means you move down instead of up for each step to the right. A fractional slope gives you both steps. For slope 2/3, move 3 to the right and 2 up. The slope is the rise over the run, so the numerator is the vertical step and the denominator is the horizontal step.
Challenge
MediumThe point (-2, 1) is marked. Draw the line through it with slope 2.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Graphs & Systems
1The Coordinate Plane
Two Numbers, One PointThe Four QuadrantsPoints on the AxesMirror PointsRecap: The Plane4Slope-Intercept Form
y = mx + bThe Starting HeightWrite the EquationSolve for yDraw From Any FormRecap: y = mx + b7Parallel & Perpendicular
Same Slope, Never MeetThe Perpendicular SlopeA Right-Angle LineRecap: Two Relations2From Rule to Line
A Rule Makes PointsThe Points Line UpOn the Line or Not?Between the DotsRecap: Rule to Line5Point-Slope Form
A Point and a SlopeFrom Two PointsFlat or Vertical ThroughDraw From a PointRecap: Point-Slope