Miscellaneous
Equations
Slope
Y-Intercept
Linear Equations
100
What is the solution?
(-1,1)
100
If a line is proportional it....
"...it's a straight line that goes through the origin."
100
How do you find the slope of a line from an equation in the form of y=mx+b?
It's the coefficient of x in y=mx+b.
100
Where do you find the y-intercept on a coordinate plane?
On the y-axis.
100
What is the equation for linear equations?
y=mx+b
200
How many solutions are in the first graph? How many in the second?
1) No Solutions
2) Infinitely Many Solutions
200
How do you know if a table of x- and y- values are proportional? (not graphing or backing up the table)
By dividing the y-values by the x-values and they all equal the same (same to the rate of change/slope).
BUT IF it is NOT proportional, you have to then subtract the values of y then the values of x to get rise over run.
200
What is the slope?
-1/3
200
What is the y-intercept?
b = 5
200
Is (4, -2) a solution to the equation y = 3x-14?
You MUST show your work!
Yes, -2=-2
300
Solve:
x = 4
300
What is the slope and the y-intercept given
y=-2/3x-7
?
m = -2/3
b=(0,-7)
300
What is the slope?
What is the equation of this linear function?
m = 4
300
What it the general form of the y-intercept in an ordered pair?
(0,b)
300
What are the 2 ways to graph a line?
Graph the line: y=1/2x+1
Short cut: graph the y-intercept then slope
Make a t-chart
400
x = 7
400
Write the equation
y=4x+6
400
Write a linear equation to describe the table.
Interpret the slope and the y-intercept
y = -5/3x + 10
The temperature drops 5 degrees every 3 hours.
The temperature started at 10 degrees.
400
What is the y-intercept for a nonproportional linear equation?
Any number [ordered pair (0,b)] except 0
400
An online clothing company sells custom sweatshirts. The company charges $6.50 for each sweatshirt and a flat fee of $3.99 for shipping. What linear equation represents this situation?
How much does it cost to buy 3 sweatshirts?
The linear equation is y = 6.5x + 3.99.
It costs $23.49
500
Select the equation that has infinitely many solutions. Must provide the solution statement.
a. 16x+ 6 = 2(8x +3)
b. 4 + 6x -8= 4x+ 2(x-4)
Correct answer is a.
16x+6 = 16x+6 or 6=6
500
Write the equation for both pandas
A) Which linear function has a greater initial value? (Which panda is heavier when born?)
B) Which has a greater rate of change? (Who grows faster?)
Mochi: y=4x+1
Kappa: y=3x+2
A) Kappa is heavier!
B) Mochi grows faster!
500
What's the slope formula? Solve (-2,9) & (3, 5)
y2-y1/x2-x1
m = -4/5
500
What is the y-intercept given y=2x+b and the ordered pair (14, 10)
b = -18
500
What is the slope of this line? Does this table represent a linear function? Explain.
There isn't one so it's a non-linear function!