A Fraction of a Slope
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 15 of 64.
A slope does not have to be a whole number. For the line through (0, -1) and (6, 3), the formula gives:
m = (3 - (-1))/(6 - 0) = 4/6 = 2/3
Leave the answer as the reduced fraction 2/3. Do not round it to a decimal. A slope of 2/3 means the line goes up 2 for every 3 steps right, and that is exact. A slope of 3/2 means up 3 for every 2 steps right, which is steeper.
Always reduce the fraction. The slopes 4/6, 6/9 and 2/3 are all the same slope, written in three ways. When you reduce each one, you can see that they are equal. Give the reduced form as your answer.
Challenge
EasyFind the slope m of the line through (1, 1) and (5, 4), as a reduced fraction.
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 Line