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Graphing linear functions using a single point and gradient

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Chapter 21.11

Graphing linear functions using a single point and slope


What You'll Learn

Plot a point on the coordinate plane using given coordinates
Apply slope as rise over run to find a second point from the first
Draw a linear function by connecting two points with a straight line
Identify x-intercepts and y-intercepts from a graph of a line
Calculate slope from a graph using two known points
Recognize special cases: zero slope for horizontal lines and undefined slope for vertical lines

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.

This Unit Includes

10 Video lessons

Skills

Graphing
Slope
Intercepts
Linear Functions
Coordinate Plane
Rise Over Run
Point-Slope Method
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