Problem 18
Graph each equation using the slope and \(y\) -intercept. $$y=\frac{3}{4} x+2$$
Problem 19
Find four solutions of equation. Write the solutions as ordered pairs. \(x+y=7\)
Problem 21
Writing in Math Write about two quantities in real life that have a proportional linear relationship. Describe how you could change the situation to make the relationship between the quantities nonproportional.
Problem 25
Graph each equation using the slope and \(y\) -intercept. $$y=-x+3$$
Problem 25
Use the following information. To replace a set of brakes, an auto mechanic charges \(\$ 40\) for parts plus \(\$ 50\) per hour. The total cost \(y\) can be given by \(y=50 x+40\) for \(x\) hours. State the slope and \(y\) -intercept of the graph of the equation and describe what they represent.
Problem 28
Find product. Write in simplest form. \(-1 \frac{1}{4} \cdot 3 \frac{5}{9}\)
Problem 30
Solve each proportion. $$\frac{2}{16}=\frac{n}{36}$$
Problem 31
Graph each equation by plotting ordered pairs. $$y=-2 x+2$$
Problem 31
Determine whether the following sentence is true or false. If true, provide an example. If false, provide a counterexample. As the constant of variation increases in a direct variation, the slope of the graph becomes steeper.
Problem 32
Draw the graph of a line that has a \(y\) -intercept but no \(x\) -intercept. What is the slope of the line?