Chapter 4

Solve the inequality. $$ 4 x-1 \leq-17 $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=-1, y=-1 $$

Find the x-intercept of the line. $$ -6 x-4 y=42 $$

Find the slope and y-intercept of the graph of the equation. $$y=-2$$

CRITICAL THINKING Is the slope always positive if the coordinates of two points on the line are positive? Justify your answer.

Find three ordered pairs that are solutions of the equation. $$ x=-10 $$

Rewrite the equation in function form. $$ -3 x+y=12 $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (14,-5) $$

Solve the inequality. $$ -5 \leq 6 x-12 $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=-4, y=40 $$

Find the x-intercept of the line. $$ 9 x-4 y=54 $$

Find the slope and y-intercept of the graph of the equation. $$12 x+4 y=24$$

FINDING SLOPE Find the slope of the line that passes through the points. $$ (4,3) \text { and }(8,5) $$

Find three ordered pairs that are solutions of the equation. $$ y=7 $$

Rewrite the equation in function form. $$ 2 x+3 y=6 $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (-4,-2) $$

Solve the inequality. $$ -17>5 x-2 $$

Find the x-intercept of the line. $$ -x-5 y=12 $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ \text { 24. } x=8, y=-56 $$

Find the slope and y-intercept of the graph of the equation. $$3 x+4 y=16$$

FINDING SLOPE Find the slope of the line that passes through the points. $$ (-2,4) \text { and }(1,6) $$

Graph the equation. $$ y=-7 $$

Rewrite the equation in function form. $$ x+4 y=4 $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (3,9) $$

Solve the inequality. $$ 15+x \geq 7 $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ f(x)=3 x $$

Find the x-intercept of the line. $$ 2 x+6 y=-24 $$

Find the slope and y-intercept of the graph of the equation. $$-7 y-14 x=28$$

FINDING SLOPE Find the slope of the line that passes through the points. \((3,8)\) and \((7,7)\)

Graph the equation. $$ y=8 $$

Rewrite the equation in function form. $$ 5 x+5 y=19 $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (-5,-2) $$

Solve the inequality. $$ -x+9 \geq 14 $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ g(x)=x+4 $$

Find the x-intercept of the line. $$ -13 x-y=39 $$

In Exercises 25 and 26, state whether the two quantities model direct variation. The circumference C of a circle and its diameter d are related by the equation C = \(\pi d\)

Graph the equation. $$y=x+3$$

FINDING SLOPE Find the slope of the line that passes through the points. $$ (3,-4) \text { and }(9,4) $$

Graph the equation. $$ x=4 $$

Rewrite the equation in function form. $$ 5 y-2 x=15 $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (-5,6) $$

Solve the inequality. $$ 7-3 x \leq 16 $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ h(x)=3 x-5 $$

Find the \(y\) -intercept of the line. $$ y=4 x-2 $$

Graph the equation. $$ y=4 x $$

Graph the equation. $$y=2 x-1$$

FINDING SLOPE Find the slope of the line that passes through the points. $$ (-3,5) \text { and }(-5,8) $$

Graph the equation. $$ x=-9 $$

Rewrite the equation in function form. $$ -x-y=5 $$

Solve the inequality. $$ 12>-2 x-6 $$