Problem 1
Fill in each blank with the correct response. The point with coordinates (0,0) is the _________ of a rectangular coordinate system.
Problem 3
A ladder leaning against a wall has slope 3 How many feet in the horizontal direction correspond to a rise of \(15 \mathrm{ft} ?\)
Problem 4
Which of the following defines \(y\) as a linear function of \(x ?\) A. \(y=\frac{1}{4} x-\frac{5}{4}\) B. \(y=\frac{1}{x}\) C. \(y=x^{2}\) D. \(y=\sqrt{x}\)
Problem 4
A hill has slope \(0.05 .\) How many feet in the vertical direction correspond to a run of \(50 \mathrm{ft}\) ?
Problem 5
Fill in each blank with the correct response. To graph a straight line, we must find a minimum of __________ points. The points (3, ___ ) and ( ___, 4) lie on the graph of \(2 x-3 y=0\).
Problem 6
In each statement, fill in the first blank with either solid or dashed. Fill in the second blank with either above or below. The boundary of the graph of \(y<-x+2\) will be a______ line, and the shading will be _____ the line
Problem 7
Write each relation as a set of ordered pairs. $$ \begin{array}{c|c} x & y \\ \hline 2 & -2 \\ \hline 2 & 0 \\ \hline 2 & 1 \end{array} $$
Problem 12
What must be true about the value of at least one of the coordinates of any point that lies along an axis?
Problem 15
Express each relation using a different form. (For example, if the given form is a set of ordered pairs, use a graph.) There is more than one correct way to do this. $$ \begin{array}{c|c} x & y \\ \hline-1 & -3 \\ \hline 0 & -1 \\ \hline 1 & 1 \\ \hline 3 & 3 \end{array} $$
Problem 21
Write an equation in slope-intercept form of the line that satisfies the given conditions. See Example 1. $$ \text { Slope } \frac{2}{5} ; y \text { -intercept }(0,5) $$