What is the slope between (2, 4) and (6, 12)?
A) 2
B) 3
C) 4
D) 8
3
In y = 2x + 7, what is the slope?
A) 2
B) 7
C) -2
D) 0
2
Solve: x + 6 = 14
A) 6
B) 7
C) 8
D) 9
8
Which shows a linear relationship?
A) y = x²
B) y = 2x + 1
C) y = 3ˣ
D) y = 1/x
y = 2x + 1
Solve: 2x + 6 = 14
A) 3
B) 4
C) 5
D) 6
4
A line goes up 5 and right 2. What is the slope?
A) 2/5
B) 5/2
C) -5/2
D) -2/5
5/2
In y = -3x + 1, what is the y-intercept?
A) -3
B) 1
C) 3
D) 0
1
Solve: 2x = 18
A) 8
B) 9
C) 10
D) 12
9
What makes a relationship linear?
A) Constant slope
B) Curved graph
C) Random points
D) Changing slope
Constant slope
What is the solution to x/3 = 5?
A) 8
B) 10
C) 15
D) 20
15
Find the slope between (-3, 7) and (1, -1).
-2
Write the equation of a line with slope 2 and y-intercept 5.
y=2x+5
Solve: x - 7 = 12
19
Explain how you can tell if a table represents a linear relationship.
Look for a constant rate of change (same increase/decrease each step)
Solve: 3x - 7 = 11
6
A line passes through (4, 10) and has slope -2. Find another point on the line.
One possible answer: (5, 8)
(Starting at (4,10), slope -2 → down 2, right 1)
What is the slope and y-intercept of y = 4x - 6?
Slope 4
Y-intercept -6
Solve: 3x + 4 = 19
5
A table shows x increases by 1 and y increases by 4. Write the equation.
Slope = 4 → equation: y = 4x (if starting at 0)
Solve: 2x + 5 = x + 12
7
A line decreases 3 units for every 1 unit to the right. Write the slope and explain what it means in context.
Slope = -3
Meaning: for every 1 unit increase in x, y decreases by 3
Does the equation y = -2x + 3 go up or down from left to right? Explain.
It goes down because the slope is negative (-2)
Solve: 2x + 3 = x + 11
8
A linear function has a slope of -1 and passes through (0, 6). Describe how the graph behaves and write the equation.
Slope = -1 → decreasing line
Equation: y = -x + 6
A taxi charges $3 plus $2 per mile. Write an equation and find the cost of 5 miles.
Equation: y = 2x + 3
Cost for 5 miles: y = 2(5) + 3 = 13