Point slope form
What is the equation for point slope form?
y - y1 = m(x - x1)
point slope form
y - y1 = m(x - x1)
What is standard form?
Ax + By = C
A taxi charges a fee of 2$ and another $1.50$ per mile. What is the total cost for a 5-mile ride?
rewrite in slope int form
𝑦+3=4(𝑥−2)
y = 3/4x - 2
What is the end goal for using point slope form?
to find the slope intercept form
standard form
Ax + By = C
What is the point of standard form?
To make the x and y variables easier to find
A graph shows the growth of a company. After 40 products are sold, the company earns $520. When 75 products are sold, the profit increases to $1220.
What would be the profit if the company sells 100 products?
100 products is $1720
You are told that a line passes through the point (4, -2) with a slope of 3. Convert the equation again into standard form.
3x - y = 14
Using the point slope form equation, what is (6, -2); m = 3 In slope intercept form?
y = 3x - 20
Why do we use point slope form?
To find the slope form equation
Name at least two things you need to observe in a standard form equation to guarantee that the equation is truly standard form?
1. The "A' in the equation must be a positive number
2. A, B, and C must all be integers.
3. A and B cannot both be 0
Many people go to a concert, a ticket for each person costs about $4.60. A child is $3.60 and the adults are a 1$ increase.
The estimated amount of people at the concert is 67,000 with a equal amount between Adults and Children (35,000 children to 33,500 Adults) and 100,000 avalible tickets.
Tickets bought per minute are 20ts/pm
IF 20 tickets are bought per minute then how many minutes would it take to completely sell out?
5,000 minutes
or
83 hours
A taxi company charges a fee of $5, plus an additional $2.50 per mile with 3 mile ride. Identitfy and define the following terms: slope and a point slop equation.
y - 12.5 = 2.5 (x - 3)
m = 2.5
Write the slope-intercept form of the equation of
Slope = 1, y intercept = 4
y = x + 4
If you don't have a slope, and had four points to work with, how would you get the slope?
Delta Y over Delta X
AROC or Average Rate of Change
Y2-Y1 over X2 - X1
solve for:
4x + 2y = 8
-2
How much money would the concert make?
460,000
4x - 2y = 10
Create a real world scenario to represent this
real world scenario of your choice, if it makes sense.
Write
(0,-9); m = 7
in slope intercept form
y = 7x - 9
What are the four ways to find a slope?
AROC equation
Looking at the graph
rise over run
Standard form
Rewrite to standard form:
y = -2/3x - 5/2
9x - y = -82
Trick question: A plane flies at 600 miles per hour at take off for fifty miles and 400 miles per hour for the rest of the timed flight (670 minutes or 11 hours). If the plane stayed in consistent movement from the take off, (600 mph) then how long would it take the plane to get to its destination? For this trick question, you need to still find the miles after finding the actual hours.
7.65 hours of travel,not 11.
4,718 miles long
a plumber has a hourly rate for his job, he has data on both.
A 2-hour job cost 180
A 5 hour cost 330
Using these points find the slope.
m = 50