Warm-Up: November 5, 2014 Write a point-tester equation for the line that passes through the point (6, 5) with a slope of 2/3.

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Presentation transcript:

Warm-Up: November 5, 2014 Write a point-tester equation for the line that passes through the point (6, 5) with a slope of 2/3.

Homework Questions?

Linear Equations and Graphs Investigation 4A Advanced Integrated Math I

Essential Question How can we write the equation of a line?

Lines The slope between any two points on a line is constant. The slope of a line is the slope between any two points on the line. You can write the equation of a line if you know its slope and any point on the line.

Example 1 Write the equation of the line that passes through (3, 7) and (-2, 4).

You-Try #1 Write the equation of the line that passes through (-1, 4) and (3, 12).

Parallel Lines Lines are parallel if they have the same slope but do not overlap.

Assignment Read pages 279-281 Page 282 #8-10, 13, 14

Page 282

Warm-Up: November 6, 2014 Graph

Homework Questions?

Essential Questions What is the fastest/easiest way to graph a line? How can we determine the slope of a line from its equation?

Graphing Lines Two points determine a line. Find any two points, plot them, then draw a line through them.

Intercepts The point where the line crosses the x-axis is called the x-intercept. Substitute 0 for y and solve for x. The point where the line crosses the y-axis is called the y-intercept. Substitute 0 for x and solve for y.

You-Try Find the x-intercept and y-intercept, then graph

Forms of an Equation Point-Slope Form Slope-Intercept Form Plug in slope for m and point coordinates for x1 and y1 Slope-Intercept Form The slope is m and the y-intercept is b Standard Form Slope is –A/B

You-Try A line has slope ½ and passes through the point (6.8, 3.5). Write the equation of the line in both point-slope form and slope-intercept form.

Assignment Read pages 284-285 Page 286 #5-8, 17-19, 28-31, 41-45

Page 286

Warm-Up: November 7, 2014 Stanley leaves his house at 8:00 AM. He rides his bike to the park at a constant 15 ft/s. Johnny, Stanley’s older brother, leaves 10 minutes after Stanley, and rides his bike at a constant 20 ft/s along the same road to the same park. How far has each boy traveled at 8:20? How far has each boy traveled at 8:45? How can you find the exact time that Johnny catches up with Stanley?

8:20 8:45 exact time Warm-Up

Classwork (with partner) Page 292 #1-3 (front page of handout) Be prepared to share your answers with the class.

Page 292 #1 Answers Yakov 2 s 40 ft Yakov: 20 ft/s, Demitri: 10 ft/s y=20x y=10x+20 20x=10x+20; x=2

Page 292 #2 Answers They run at the same speed Yakov never overtakes Demitri 20 ft/s (both) y=20x y=20x+20

Page 292 #3 Answers Yakov starts ahead and stays ahead No, the graphs keep getting further apart, and do not continue to the left of t=0 (-2, -20) if they did continue No

Assignments Read pages 289-292 Page 293 #4-12 Page 294 #1-8

Warm-Up: November 10, 2014

Classwork You have the remainder of class to work with your partner on the assignments due this week. Use the packet you received on Friday.