Tutorials--Graphing Linear Functions in Slope-Intercept Form
3.5 Graphing Linear Equations in Slope-Intercept Form.
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Transcript of 3.5 Graphing Linear Equations in Slope-Intercept Form.
3.5 Graphing Linear
Equations in Slope-Intercept
Form
Do Now• Graph 2x + 4y = 8. Find the
intercepts.
Slope• The slope m of a nonvertical line
passing through two points (x1, y1) and (x2,y2) is the ratio of the rise to the run.
Example 1
Example 2
Example 3
Example 5• What is the slope of the line?
4 Types of Slope• Positive Slope
o The line rises from left to right.
• Negative Slopeo The line falls from left to right.
• Slope of 0o The line is horizontal.
• Undefined Slopeo The line is vertical.
Slope-Intercept Form• Slope-intercept form is written as y= mx + b.
A linear equation written in the form y = 0x + b is a constant function.
Steps to Using Slope-Intercept Form to
GraphA)Solve for y.B)Find the slope and the y-
intercept.C)Plot the y-intercept.D)Use the slope to find another
point on the line.
Example 6Graph 2x + y = 2.
Example 7Graph y = 4x – 4.
Example 8• A submersible that is exploring the ocean
floor begins to ascend to the surface. The elevation h (in feet) of the submersible is modeled by the function h(t) = 650t – 13,000, where t is the time (in minutes) since the submersible began to ascend.
a) Graph the function and identify its domain and range. b) Interpret the slope and intercepts of the graph.