What 3 criteria does a line need to meet in order to be proportional?
Increasing, straight, and goes through the origin (0,0)
Is this graph increasing or decreasing?
Increasing
Determine the rate of change for the following equation: y=x
Rate of change/slope is 1 or 1/1
When graphing a line from an equation, where do you begin?
At your b value which is the y-intercept.
What is the vertical intercept of the following equation? y=4x+32
32
Is this proportional? Justify your answer.
Yes. Increasing at a constant rate and starts at the origin.
Is this graph increasing, decreasing, or neither?
Neither. It has a slope of 0.
What is the rate of change for the graph?
M=1/4
What is the general equation for linear lines?
y=mx+b
True or False: Every proportional relationship is a linear relationship
True
Is this line proportional?
No. It is decreasing.
T or F? When reading a graph I always read it from right to left?
False! You ALWAYS read the graph from left to right. Just like you read a sentence!
Which equation has a greater rate of change?
The equation y=2x-8 has a greater rate of change which is 2.
Write the equation of the line that has a slope of -2 and a y-int. of 4.
y=-2x+4
True or false: Every linear relationship is a proportional relationship?
False
Is this equation proportional?
y=2x-1
No, it does not go through the origin.
Are these lines parallel? Justify your answer.
No. They are increasing at different rates.
Determine the slope.
M=1/3
Are these equations parallel? Justify your answer.
y-1=3x+2
y=3x-4
Yes, both of the lines have a slope of 3.
What is the rate of change of the following equation: y=450-2x
-2
Find the constant of proportionality for the following equation.
2y=10x
K=5
Which line represents the following problem:
Mrs. Gibson is selling cookies to earn money for math club. She finds that 4 out of every 7 cookies she sells are chocolate chip. (Distinguish the line by the color it is)
The green line represents the problem situation.
What is the slope of the line created between the 2 points?
M=-2
Write the equation of the line.
y=-7/3x+1
I really want to save for a new pair of shoes. I have $40 already, and I need to save $10 every week for the next six weeks to reach my desired amount.
What do the slope and the y-intercept mean in this context?
The slope is the rate of saving $10 per week
The y intercept is $40 because that is the starting amount of money I have.