A teacher presented students with four tables.
Table 1
A 2-column table with 3 rows titled Table 1. Column 1 is labeled x with entries 2, 6, 8. Column 2 is labeled y with entries 1, negative 1, negative 2.
Table 2
A 2-column table with 3 rows titled Table 2. Column 1 is labeled x with entries 0, 2, 6. Column 2 is labeled y with entries 8, 4, negative 4.
Table 3
A 2-column table with 3 rows titled Table 3. Column 1 is labeled x with entries negative 4, negative 2, 2. Column 2 is labeled y with entries 4, 5, 7.
Table 4
A 2-column table with 3 rows titled Table 4. Column 1 is labeled x with entries negative 2, 0, 4. Column 2 is labeled y with entries 0, 4, 12.
Which table describes a linear function that has a slope of 2?
Table 1
Table 2
Table 3
Table 4
Table 4
Which equation represents the linear function that is shown on the graph below?
On a coordinate plane, a line goes through points (4, 0), (6, 1), (8, 2), and (10, 3).
A)y = one-half x + 4
B)y = one-half x minus 2
C)y = 4 x minus 2
D)y = negative 2 x + 4
B) y = one-half x minus 2
Two points defining a linear function are shown in the table below.
x
y
–14
–18
–10
–12
What is the slope of the function?
Two-thirds
Three-halves
2
6
The slope of the function is 3/2 or one and a half.
What is the y-intercept of the linear equation x minus one-half y = negative 6?
The y-intercept of the linear equation x - 1/2y = -6 is found by letting x = 0 and solving for y:
0 - 1/2y = -6
Multiplying both sides by -2 gives:
y = 12
Therefore, the y-intercept of the linear equation x - 1/2y = -6 is 12.
Sanjay said that if a line has a slope of zero, then it never touches the x-axis. Which line proves that his statement is incorrect?
x = 0
y = 0
x = 1
y = 1
x = 0
The Shake Shack sells large and small shakes. A large shake costs $5, and a small shake costs $3. On Sunday, the Shake Shack had a total revenue of $479. Which equation can be used to represent x, the number of small shakes sold and y, the number of large shakes sold?
479x + 479y = 15
4x + 4y = 479
5x + 3y = 479
3x + 5y = 479