Linear or Proportional?
is y=mx proportional or linear
its Both
TRUE or FALSE: Proportional relationships MUST start at (0,0)
true
TRUE or FALSE: linear relationships can NOT start anywhere on a graph
False
TRUE or FALSE: Slopes can be curved
False
TRUE or FALSE: proportional equations are the same as linear equations
False
is y=mx+b proportional or linear
Linear
what is the equation for proportional relationships
y=mx
what is the equation for linear equations
y=mx+b
what is the formula for slope?
rise/run
what is your constant rate of change if you have the points (3,2) and (6,4)
2
what is the difference between proportional and linear relationship
a linear relationship has a y-intercept
when a question asks for a "rate of change" what is the problem really asking you to calculate?
slope
in the equation y=mx+b what is b and what is mx
b is your y intercept and mx is your slope
how can I tell if a slope is negative or positive by looking at a graph?
(detailed explanation)
if the line is going upwards left to right it is positive.
if the is going downwards left to right it is negative.
Solve y=2x+6
y=8
X=-2
are proportional relationships linear?
Yes
TRUE or FALSE: x can be negative
FALSE
is y=-5x+b linear?
yes
If my line contains points (2,3) and (4,6) what is the slope?
3/2
You're considering two gym memberships: Gym A costs $50 per month, and Gym B costs $30 per month plus a $100 annual fee. Which gym is cheaper for a 6-month membership, and what's the total cost for each? Bonus Point: How much cheaper?
Gym B is cheaper.
Bonus: $20 cheaper
Are all linear relationships proportional?
No
what does the m in y=mx mean
it means constant of proportionality, rate of change and the slope
is y=5x^2+b linear?
No
7 toy whales cost 21$ what is the slope
3$ per whale
TRUE or FALSE: when 6 robots cost 24$, 13 robots cost 50$
False