91Ó°ÊÓ

Decide whether the given point lies on the line. Justify your answer both algebraically and graphically. $$x-y=10 ;(5,-5)$$

Is the given number a solution of the inequality? $$3 x-11 \geq 2 ; 4$$

Find the rate of change between the two points. Give the units of measure for the rate. \((53,44)\) and \((32,14) ; x\) in seconds, \(y\) in liters.

The table shows information about the top 7 winners of the 1997 Masters Tournament in Augusta, Georgia. Graph the relation. Is the money earned a function of the score? Explain. $$ \begin{array}{|l|c|c|c|c|c|c|c|}\hline \text { Score } & 270 & 282 & 283 & 284 & 285 & 285 & 286 \\\\\hline \text { Prize (s) } & 486,000 & 291,600 & 183,600 & 129,600 & 102,600 & 102,600 & 78,570 \\\\\hline\end{array} $$

Is the given number a solution of the inequality? $$8+5 x<-2 ;-2$$

Decide whether the given point lies on the line. Justify your answer both algebraically and graphically. $$3 x-6 y=-2 ;(-4,-2)$$

Find the \(x\) -intercept and the \(y\) -intercept of the line. Graph the equation. Label the points where the line crosses the axes. $$ 0.5 y=-2 x+8 $$

It takes 4.25 years for starlight to travel 25 trillion miles. Let \(t\) be the number of years and let \(f(t)\) be trillions of miles traveled. Write a linear function \(f(t)\) that expresses the distance traveled as a function of time.

Is the given number a solution of the inequality? $$4 x-1>10 ; 3$$

Robin always finds at least three different ordered pairs when making a table to graph an equation. Why do you think she does this?