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.