2.4 No Solutions or Infinitely Many?
How many solutions? One, none, or infinitely many? If there is only one, find it.
4(9x + 6) = 36x - 7
No solution
The graph shows the amount of savings over time in Eliana's account. Lana puts $50 each week into her savings account. If they both begin with $0, who is saving at a greater rate?
The graph shows the number of calories Natalia burned while running. What is the slope of the line?
10
A recipe requires one quarter of milk as a base and then, in addition, 1 cup of milk for every 4 cups of flour. Write a linear equation that describes the relationship.
y = 1/4x + 1/4
How many solutions? One, none, or infinitely many? If there is only one, find it.
2(3x + 8) = 2x + 16 + 4x
Infinitely many solutions
How fast does Alexa type?
How can you find the slope of the line that passes through the points (0,0) and (2,4)? What is it?
The graph is proportional because it goes through the origin, and the constant of proportionality can be found using y/x = 2
Write an equation to describe the relationship in this graph.
y = 1/3x
How many solutions? One, none, or infinitely many? If there is only one, find it.
48x + 43 = 47x + 43
One solution, x=0
The graph shows a proportional relationship between the number of workers and weekly cost, in dollars, for a company in its first year. The following year, the company spends $7,200 per 12 employees. Did the rate increase or decrease?
The rate decreased.
The points (2.1, -4.2) and (2.5, -5) form a proportional relationship. What is the slope of the line that passes through these two points?
-2
Write an equation in the form y=mx for the proportional relationship that passes through the points (2, -15) and (6, -45)
y = -7.5x
How many solutions? One, none, or infinitely many? If there is only one, find it.
3(4x + 2) = 20x - 9x + 2
One solution, x = -4
The graph shows the average speed of Car 1 which is traveling on a highway. The equation y = 55x represents the average speed of Car 2, where y is the distance in miles and x is the time in hours. Which car is traveling at a greater speed?
Car 1
Find the slope of the line that passes through the given points: (0, 10) and (24, 6)
-1/6
Select all the statements that are true about the graph of a line that slants downward from left to right.
a. The slope of the line is negative
b. As the value of one variable increases, the value of the other variable decreases
c. The slope of the line is a fraction
d. The graph has small values
A and B are true