Do NowDo Now•When graphing a line, what does the letter m refer to?•How is that used to describe a line?

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.where:m= slopeb = y-intercept

Constant Functions:Constant Functions:• A linear equation written in

the form y = 0x + b or y = b.

• The graph will be a horizontal line

How to graph using How to graph using Slope-Intercept Slope-Intercept

Form:Form:1. Solve the equation for y.o Want it in the form y=mx + b

2. Find the slope (m) and the y-intercept (b).

3. Plot the y-intercept.4. Use the slope to find two other

points on the line.

Example 1Example 1y = 2x - 3

Example 2Example 22x + y = 2

Example 3Example 3y = -4.5

Example 4Example 45x – 2y = 8

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) Using the graph to the right identify its domain and range.

a) Find the slope of the line and interpret what it means.

a) Find the x and y intercepts and interpret what they mean.