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Overview
Grade 10
Develop algebraic and graphical reasoning through the study of relations
12. Describe and represent linear relations using words, ordered pairs, tables of values, graphs, and equations
12.4 Graphing linear functions using a single point and slope
Graphing from a Point and a Slope
Plot the given point, then use the slope as rise over run to find a second point and draw the line.
What You'll Learn
Plot the given point on the coordinate grid first.
Read the slope as rise over run.
Move from the point by the run, then the rise, to find a second point.
Draw a line through the given point and the new point.
This method works whenever a point and slope are given directly.
What You'll Practice
1
Graphing lines given a point and positive or negative slope
2
Plotting lines with slope in fraction form using rise over run
3
Drawing horizontal and vertical lines with zero and undefined slopes
4
Finding x-intercepts, y-intercepts, and slope from given graphs
Why This Matters
Graphing linear functions using a point and slope builds your foundation for algebra and coordinate geometry. You'll use this skill to model real-world relationships, solve systems of equations, and analyze data in science and economics courses.
Before You Start — Make Sure You Can:
This Unit Includes
10 Video lessons
Learning resources
Skills
Graphing
Slope
Intercepts
Linear Functions
Coordinate Plane
Rise Over Run
Point-Slope Method
MB Curriculum Aligned