Do NowDo Now• Graph 2x + 4y = 8. Find the
intercepts.
3.5 Graphing 3.5 Graphing Linear Linear
Equations in Equations in Slope-Intercept Slope-Intercept
FormForm
SlopeSlope• 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.
4 Types of Slope4 Types of SlopePositive:The linerises from left to right.
Negative:The linefalls from left to right.
Zero:Horizontal Line
UndefinedVertical Line
Example 1Example 1
Example 2Example 2
Example 3Example 3
Example 4Example 4• What is the slope of the line?
Time to….Time to….
PRACTICE PRACTICEPRACTICE
3.5 Day 23.5 Day 2Slope-Intercept FormSlope-Intercept Form
Slope-Intercept FormSlope-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-Steps to Using Slope-Intercept Form to Intercept Form to
GraphGraphA)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 6Example 6Graph 2x + y = 2.
Example 7Example 7Graph y = 4x – 4.
Example 8Example 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.
Top Related