Do Now Graph 2x + 4y = 8. Find the intercepts.. 3.5 Graphing Linear Equations in Slope-Intercept...
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Do NowGraph 2x + 4y = 8. Find the intercepts.
3.5 Graphing Linear Equations in Slope-Intercept Form
SlopeThe 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 Slope
Positive:The linerises from left to right.Negative:The linefalls from left to right.Zero:Horizontal Line
Example 4What is the slope of the line?
Time to.PRACTICE PRACTICE PRACTICE
3.5 Day 2Slope-Intercept Form
Slope-Intercept FormSlope-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 GraphSolve for y.Find the slope and the y-intercept.Plot the y-intercept.Use the slope to find another point on the line.
Example 6Graph 2x + y = 2.
Example 7Graph y = 4x 4.
Example 8A 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.
Graph the function and identify its domain and range. Interpret the slope and intercepts of the graph.