Vocabulary
What is a Coefficient
Does the following equation represent a proportional or non proportional relationship?
Y=2x
Proportional
Solve:
2+x=10
2+x=10
-2 -2
x=8
The point of intersection is what?
Where the two lines cross.
Solve.
10h+12=8h+4
h=-4
Another name for the point (0,0)
The Origin
A line is considered proportional when it goes through what point?
When it goes through the origin.
Solve:
2(4+3x)=16
2(5+3x)=16
10+6x=16
-10 -10
6x=6
x=1
When writing a point of intersection, which variable goes first?
(X, Y)
What do we call two or more equations?
System
What is the name for the following formula,
Y= MX+B
Slope-Intercept Form
Kevin paid a start up fee of $5 to join a video game club. He has to pay 10 per month to remain in the club.
Write a linear equation to represent the situation.
y=10x+5
Solve the following equation:
x+5=3x-1
x+5=3x-1
-x -x
5=2x-1
+1 +1
6=2x
x=3
Solve by using SUBSTITUTION
y=3x
4x+y=14
(2, 6)
Joshua works by mowing lawns on the weekend. He charges each customer a $10 fee, and an additional $3 per hour.
Write a linear equation that represents the situation.
y=3x+10
The B in the formula represents what?
Y= MX+B
The Y-Intercept
The slope represents the _____ over the ______.
The rise over the run.
Name the three different types of solutions that you can have.
One solution: x=#
Infinite Solutions: #=#
No Solution: # Not Equal #
Solve by SUBSTITUTION
12x = 48
5x + 4y =64
(4, 11)
A linear equation when graphed makes what type of line?
A straight line.
Another way of saying multiplying in an equation can be what?
Distributing
When graphing a line, do you start with the slope or the y-intercept.
The y-intercept.
Solve and name the type of solution.
4x-5=2(2x-1)-3
4x-5=2(2x-1)-3
4x-5=4x-2-3
4x-5=4x-5
-4x -4x
-5=-5
Solve by SUBSTITUTION
y= 2x + 1
3x + y = 71
(14, 29)
Solve by SUBSTITUTION
y=x-4
2x+y=5
(3, -1)