Chapter 3

Use intercepts and a checkpoint to graph equation. \(2 x=3 y+6\)

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((5,-3)\) and is parallel to the line whose equation is \(y=2 x+1.\)

In Exercises \(27-30\), determine whether the lines through each pair of points are perpendicular. $$(-1,-6) \text { and }(2,6) ;(-8,-1) \text { and }(4,2)$$

Graph each linear equation using the slope and y-intercept. $$y=-2 x+4$$

Graph each inequality. $$x \leq 1$$

Use intercepts and a checkpoint to graph equation. \(25 y=100-50 x\)

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((-1,-5)\) and is parallel to the line whose equation is \(3 x+y=6.\)

In Exercises \(31-36,\) determine whether the lines through each pair of points are parallel, perpendicular, or neither. $$(-2,-5) \text { and }(3,10) ;(-1,-9) \text { and }(4,6)$$

Graph each linear equation using the slope and y-intercept. $$y=\frac{1}{2} x+1$$

Use intercepts and a checkpoint to graph equation. \(10 y=60-40 x\)

Graph each inequality. $$x \leq-3$$

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((-4,-7)\) and is parallel to the line whose equation is \(6 x+y=8.\)

In Exercises \(27-30\), determine whether the lines through each pair of points are perpendicular. $$(-2,-7) \text { and }(3,13) ;(-1,-9) \text { and }(5,15)$$

Graph each linear equation using the slope and y-intercept. $$y=\frac{1}{3} x+2$$

Use intercepts and a checkpoint to graph equation. \(2 x-8 y=12\)

Graph each inequality. $$y>1$$

In which quadrants are the \(y\) -coordinates positive?

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((4,-7)\) and is perpendicular to the line whose equation is \(x-2 y=3.\)

In Exercises \(27-30\), determine whether the lines through each pair of points are perpendicular. $$(-4,-12) \text { and }(0,-4) ;(0,-5) \text { and }(2,-4)$$

Graph each linear equation using the slope and y-intercept. $$y=\frac{2}{3} x-5$$

Use intercepts and a checkpoint to graph equation. \(3 x-6 y=15\)

Graph each inequality. $$y>-3$$

In which quadrants are the \(x\) -coordinates negative?

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((5,-9)\) and is perpendicular to the line whose equation is \(x+7 y=12.\)

In Exercises \(27-30\), determine whether the lines through each pair of points are perpendicular. $$(-1,-11) \text { and }(0,-5) ;(0,-8) \text { and }(12,-6)$$

Graph each linear equation using the slope and y-intercept. $$y=\frac{3}{4} x-4$$

Use intercepts and a checkpoint to graph equation. \(x+2 y=0\)

Graph each inequality. $$x \geq 0$$

In which quadrants do the \(x\) -coordinates and the \(y\) -coordinates have the same sign?

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((2,4)\) and has the same \(y\) -intercept as the line whose equation is \(x-4 y=8.\)

Graph each linear equation using the slope and y-intercept. $$y=-\frac{3}{4} x+2$$

In Exercises \(27-30\), determine whether the lines through each pair of points are perpendicular. $$(-5,-1) \text { and }(0,2) ;(-6,9) \text { and }(3,-6)$$

Use intercepts and a checkpoint to graph equation. \(2 x+y=0\)

Graph each inequality. $$y \leq 0$$

In which quadrants do the \(x\) -coordinates and the \(y\) -coordinates have opposite signs?

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((2,6)\) and has the same \(y\) -intercept as the line whose equation is \(x-3 y=18.\)

In Exercises \(27-30\), determine whether the lines through each pair of points are perpendicular. $$(-2,-15) \text { and }(0,-3) ;(-12,6) \text { and }(6,3)$$

Graph each linear equation using the slope and y-intercept. $$y=-\frac{2}{3} x+4$$

Use intercepts and a checkpoint to graph equation. \(y-3 x=0\)

Write each sentence as a linear inequality in two variables. Then graph the inequality. The sum of the \(x\) -variable and the \(y\) -variable is at least 2

determine whether each ordered pair is a solution of the given equation. $$y=3 x \quad(2,3),(3,2),(-4,-12)$$

Write an equation in slope-intercept form of the line satisfying the given conditions. The line has an \(x\) -intercept at \(-4\) and is parallel to the line containing \((3,1)\) and \((2,6).\)

On the same set of axes, draw lines passing through the origin with slopes \(-1,-\frac{1}{2}, 0, \frac{1}{3},\) and 2

Graph each linear equation using the slope and y-intercept. $$y=-\frac{5}{3} x$$

Use intercepts and a checkpoint to graph equation. \(y-4 x=0\)

Write each sentence as a linear inequality in two variables. Then graph the inequality. The difference between the \(x\) -variable and the \(y\) -variable is at least 3

determine whether each ordered pair is a solution of the given equation. $$y=4 x \quad(3,12),(12,3),(-5,-20)$$

Write an equation in slope-intercept form of the line satisfying the given conditions. The line has an \(x\) -intercept at \(-6\) and is parallel to the line containing \((4,-3)\) and \((2,2).\)

On the same set of axes, draw lines with \(y\) -intercept 4 and slopes \(-1,-\frac{1}{2}, 0, \frac{1}{3},\) and 2

Graph each linear equation using the slope and y-intercept. $$y=-\frac{4}{3} x$$