write the equation of the line…. write the equation of the line… through (4, 5) and (6, 9)
TRANSCRIPT
Write the equation of the line…
Write the equation of the line…
Through (4, 5) and (6, 9)
Write the equation of the line…
Write the equation of the line…
Solve by Graphing
Section 3.1
According to one plan, the repair cost is $50 plus $10per hour. Another plan is $75 plus $5 per hour. Which plan should I choose? When are they the same?
System of Equations
Consists of 2 or more equations with 2 or more variables
Solution
A point (x, y) is said to be a solution to a system of equations if it satisfies both equations.
Given:
Is (9, 5 ) a solution?
Is (7, 3) a solution?
6 9 15
4
x y
x y
Definitions
Consistent – has at least one solution Dependent – Infinite number of solutions Independent – has exactly one solution
Inconsistent – has no solution
Consistent
Independent
Consistent
Dependent Inconsistent
Solve by graphing:
3 2
3 4
y x
x y
Solve by graphing:
4 20
6 4 8
x y
x y
Solve by graphing:
4 3 9
8 6 12
x y
x y
To Solve with the calculator:
First Solve each equation for y Press y= and put the first equation into y1
and the 2nd equation into y2 Press 2nd TRACE - #5 intersect
Solve w/Calculator:
3 2
9 3 6
y x
x y
Solve w/Calculator:
Solve w/Calculator:
Solve w/Calculator:
Solve w/Calculator:
Homework
Worksheet