1 Slope and intercept / 3 pts
- State the slope and the y-intercept of \(y = 6x - 8\).
- State the slope and the y-intercept of \(y = -\dfrac{x}{4} + 3\).
- Does the line \(y = 6x - 8\) rise or fall from left to right? Explain.
2 Table and graph / 4 pts
Consider \(y = -3x + 2\).
- Complete the table for \(x = -2, -1, 0, 1, 2\).
- Graph the line on a coordinate plane.
| \(x\) | \(-2\) | \(-1\) | \(0\) | \(1\) | \(2\) |
|---|---|---|---|---|---|
| \(y\) | ? | ? | ? | ? | ? |
3 Equation from a graph / 4 pts
The line below passes through \(P(0, 3)\) and \(Q(4, 1)\).
- Find the slope of the line.
- Write its equation.
- Find \(y\) when \(x = 10\).
4 Horizontal and vertical lines / 3 pts
Consider the point \((-3, 6)\).
- Write the equation of the horizontal line through this point.
- Write the equation of the vertical line through this point.
- Give the slope of each line.
5 Rate of change from a table / 3 pts
The table shows a linear relationship.
| \(x\) | \(1\) | \(3\) | \(5\) | \(7\) |
|---|---|---|---|---|
| \(y\) | \(5\) | \(11\) | \(17\) | \(23\) |
Find the rate of change, then write the equation.
6 Bike rental / 3 pts
A shop charges $8 plus $6 per hour to rent a bike. Let \(C\) be the cost in dollars for \(h\) hours.
- Write an equation for \(C\).
- Find the cost for 5 hours.
- How many hours can you rent for $50?
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