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In the last quarter of a high school football game, your team is behind by 21 points. A field goal is 3 points and a touchdown (with the point-after- touchdown) is 7 points. Let \(x\) represent the number of field goals scored. Let \(y\) represent the number of touchdowns scored. a. Write and graph an inequality that models the different numbers of field goals and touchdowns your team could score and still not win or tie. (Assume the other team scores no more points.) b. Does every point on the graph represent a solution of the real-life problem? Give examples to support your answer.

Write an inequality to describe the frequency range \(f\) of the instrument. The frequency range of a guitar is from 73 hertz to 698 hertz.

You are hiking a six-mile trail at a constant rate in Topanga Canyon. You begin at 10 A.M. At noon you are two miles from the end of the trail. Write a linear equation that gives the distance \(d\) (in miles) from the end of the trail in terms of time \(t .\) Let \(t\) represent the number of hours since 10 A.M.

Rewrite the equation in slope-intercept form. $$x+5 y=20$$

Use a table of values to graph the equation. $$y=-6 x+7$$

Write the slope-intercept form of the equation of the line that passes through the two points. Graph the line. Label the points where the line crosses the axes. \((-1,4),(2,4)\)