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

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Presentation on theme: "Do Now When graphing a line, what does the letter m refer to? How is that used to describe a line?"— Presentation transcript:

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

2 3.5 Day 2 Slope-Intercept Form

3 Slope-Intercept Form Slope-intercept form is written as y= mx + b. where: m= slope b = y-intercept

4 Constant Functions: A linear equation written in the form y = 0x + b or y = b. The graph will be a horizontal line

5 How to graph using Slope-Intercept 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.

6 Example 1 y = 2x - 3

7 Example 2 2x + y = 2

8 Example 3 y = -4.5

9 Example 4 5x – 2y = 8

10 Example 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.

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