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The document discusses slope and how it represents the rate of change of a line. It defines slope as the rise over the run between two points on a line. Positive slope lines rise from left to right, negative slope lines rise from right to left, horizontal lines have zero slope, and vertical lines have undefined slope. The slope formula is defined as the change in y over the change in x between two points.
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4.4 notes
Slope represents the rate of change of a line and is calculated by rise over run. A positive slope indicates the line rises from left to right, while a negative slope rises from right to left. Horizontal lines have a slope of zero as there is no rise, and vertical lines have an undefined slope as the run is zero.
4.1 notes
The document describes plotting points and graphs on a coordinate plane. It defines an x-axis, y-axis, and four quadrants. Examples of ordered pairs are given with points labeled on the plane. Two linear equations, y=2x-1 and y=-1/3x+2, are shown graphed on the plane with their domains.
4.2 notes
This document discusses how to graph linear equations in a coordinate plane. It defines a linear equation as one whose graph is a line and provides the standard form of a linear equation as ax+by=c. It explains that solutions to linear equations are ordered pairs that make statements true when substituted into the equation. To graph a linear equation, you create a domain of at least three convenient values, solve the equation for those values, and plot the points. Examples are given of graphing the equations y=b, x=a, y=3x-2, y=2.5, and x=-4. The vertical line test is introduced to determine if an equation represents a function.
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4.6 notes
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4.4 notes
Slope represents the rate of change of a line and is calculated by rise over run. A positive slope indicates the line rises from left to right, while a negative slope rises from right to left. Horizontal lines have a slope of zero as there is no rise, and vertical lines have an undefined slope as the run is zero.
4.1 notes
The document describes plotting points and graphs on a coordinate plane. It defines an x-axis, y-axis, and four quadrants. Examples of ordered pairs are given with points labeled on the plane. Two linear equations, y=2x-1 and y=-1/3x+2, are shown graphed on the plane with their domains.
4.2 notes
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4.4 notes
- 1. 4.4 Objective: Find the slope of a line and interpret slope as rate of change.
- 2. Slope of a line
- 3. Find the slope • Rise = 5 • Run = 3 • Slope = 5/3 • Slope is positive since both rise and run are positive. • Positive slope climbs from left to right.
- 4. Find the slope • Rise – 1 • Run – -2 • Slope = 1/-2 • Slope is negative since rise is positive and run is negative. • Negative slope climbs from right to left.
- 5. Zero Slope • Horizontal lines have zero slope • 0 rise/run
- 6. Undefined slope • Vertical lines have undefined slope • Rise/0 run
- 7. Slope formula • Change in y (rise) over change in x (run)
- 8. Practice