write a point-tester equation for the line that passes through the point (6, 5) with a slope of 2/3
TRANSCRIPT
Write a point-tester equation for the line that passes through the point (6, 5) with a slope of 2/3.
Warm-Up: November 5, 2014
Homework Questions?
Linear Equations and Graphs
Investigation 4AAdvanced Integrated Math I
How can we write the equation of a line?
Essential Question
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.
Lines
Write the equation of the line that passes through (3, 7) and (-2, 4).
Example 1
Write the equation of the line that passes through (-1, 4) and (3, 12).
You-Try #1
Lines are parallel if they have the same slope but do not overlap.
Parallel Lines
Read pages 279-281 Page 282 #8-10, 13, 14
Assignment
Page 282
Graph
Warm-Up: November 6, 2014
1234 yx
Homework Questions?
What is the fastest/easiest way to graph a line?
How can we determine the slope of a line from its equation?
Essential Questions
Two points determine a line. Find any two points, plot them, then draw a
line through them.
Graphing Lines
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.
Intercepts
Find the x-intercept and y-intercept, then graph
You-Try
62 xy
Point-Slope 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
Forms of an Equation
11 xxmyy
bmxy
CByAx
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.
You-Try
Read pages 284-285 Page 286 #5-8, 17-19, 28-31, 41-45
Assignment
Page 286
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.
a) How far has each boy traveled at 8:20?b) How far has each boy traveled at 8:45?c) How can you find the exact time that Johnny
catches up with Stanley?
Warm-Up: November 7, 2014
a) 8:20b) 8:45c) exact time
Warm-Up
Page 292 #1-3 (front page of handout) Be prepared to share your answers with the
class.
Classwork (with partner)
a) Yakovb) 2 sc) 40 ftd) Yakov: 20 ft/s, Demitri: 10 ft/se) y=20xf) y=10x+20g) 20x=10x+20; x=2
Page 292 #1 Answers
a) They run at the same speedb) Yakov never overtakes Demitric) 20 ft/s (both)d) y=20xe) y=20x+20f) Yakov never overtakes Demitri
Page 292 #2 Answers
a) Yakov starts ahead and stays aheadb) No, the graphs keep getting further apart,
and do not continue to the left of t=0c) (-2, -20) if they did continued) No
Page 292 #3 Answers
Read pages 289-292 Page 293 #4-12
Page 294 #1-8
Assignments
Warm-Up: November 10, 2014
You have the remainder of class to work with your partner on the assignments due this week.
Use the packet you received on Friday.
Classwork