Do Now Graph 2x + 4y = 8. Find the intercepts.. 3.5 Graphing Linear Equations in Slope-Intercept...

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Transcript of Do Now Graph 2x + 4y = 8. Find the intercepts.. 3.5 Graphing Linear Equations in Slope-Intercept...

  • 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

    UndefinedVertical Line

  • Example 1

  • Example 2

  • Example 3

  • 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.