91Ó°ÊÓ

Match the description in Column I with the correct equation in Column II. A. \(y=4 x\) B. \(y=\frac{1}{4} x\) C. \(y=-4 x\) D. \(y=-2 x+1\) E. \(y-1=-2(x-4)\) Slope \(=-2, y\) -intercept \((0,1)\)

Use the given equation to complete the given ordered pairs. Then graph each equation by plotting the points and drawing a line through them. \(3 x=-y-6\) (0,__),(__,0),(\(-\frac{1}{3}\),__)

The ordered pair \((4,___)\) is a solution of the equation \(y=3\)

Decide whether the line with the given slope rises from left to right, falls from left to right, is horizontal, or is vertical. (a) \(m=-4\) (b) \(m=0\) (c) \(m\) is undefined. (d) \(m=\frac{3}{7}\)

Explain how to determine whether to use a dashed line or a solid line when graphing a linear inequality in two variables.

Explain why the point \((0,0)\) is not an appropriate choice for a test point when graphing an inequality whose boundary goes through the origin.

Decide whether each equation defines y as a function of \(x\). Remember that, to be a function, every value of \(x\) must give one and only one value of \(y\). $$ y=x^{2} $$

What is the slope of the slide? (Hint: The slide drops 8 ft vertically as it extends 12 ft horizontally.)

Explain why the graph of \(y>x\) cannot lie in quadrant IV.

A toy manufacturer makes stuffed bears and geese. It takes 20 min to sew a bear and 30 min to sew a goose. There is a total of 480 min of sewing time available to make \(x\) bears and \(y\) geese. These restrictions lead to the inequality $$ 20 x+30 y \leq 480 $$