An Intercept
The point where a line crosses the x or y-axis
Find x if
3x+4=10
x=2
Explain a negative slope
The rate of change is "decreasing" - the line for the equation is going downhill from left to right.
Cordrey had a batting average (BAA) of 1.7 which he improved by 0.03 every year. Write an equation modeling the relationship between his BAA and time.
B=0.03t+1.7
The slope of the line parallel to the equation
y= 2/3x
2/3
A Variable
A letter or symbol that represents an unknown quantity
The solution set for
3 - x > 5
x < -2
The slope of
y=x/4+5
What is 1/4
For her race car, Lily needs new tires which cost $425 each and ceramic wheel bearings for $65 each. If she had $2110 to spend, write an equation modeling the relationship between the cost of parts and her budget.
425t+65w<= $2110
Perpendicular slope for
y = 4x - 11
-1/4
Slope
The rate of change. (The steepness of a line)
The equation for
k < -2
The y-intercept for the equation
2x+y=3
y = (0, 3)
Gracie was kicking a soccer ball that was losing air pressure at a rate of 1.2 PSI per hour. If the ball started with an air pressure of 11.6 PSi, how many hours will it take the ball to completely deflate? Round to the nearest hour
12 hours
Find the slope parallel to the line
3x - 4y = 10
parallel slope = 3/4
Parallel lines
Two lines that never cross. (Have the same slope)
The solution for
2(3x-1)+8 = 30
x = 4
The slope of x =-2
undefined
Ms. Heavin has a car with a broken gas gauge. She gets approximately 25 miles per gallon when driving on Paris Pike, and can travel 400 miles before her tank is empty. How many gallons does her gas tank hold? Write an equation modeling the relationship between miles traveled, m, and gallons of gas, g.
14 gallons
g = 400 - 25m
Find the slope perpendicular to the line
5y-1/3x = 10
perpendicular slope =
-15
An Equation
A math sentence stating 2 expressions are equal or one expression is the same as the other. A mathematical truth statement
The solution for
(2x+1)/3=5
x = 7
Is (-6, 3) a solution to the equation
1/2x-4y=-9
False. If you plugin (-6, 3) for x and y you end up with -15 = -9
The equation for
y=-1/2 x + 3