7.9 Exercise supplement

$6x-18=6$

$4x-3=-7$

$5x-1=2$

$10x-16<4$

$-2y+1\le 5$

$\frac{-7a}{12}\ge 2$

$3x+4\le 12$

$-16\le 5x-1\le -11$

$0<-3y+9\le 9$

$\frac{-5c}{2}+1=7$

Draw a coordinate system and plot the following ordered pairs.

$(3,1),(4,-2),(-1,-3),(0,3),(3,0),\left(5,-\frac{2}{3}\right)$

As accurately as possible, state the coordinates of the points that have been plotted on the graph.

What is the geometric structure of the graph of all the solutions to the linear equation $y=4x-9$ ?

$y-x=2$

$y+x-3=0$

$-2x+3y=-6$

$2y+x-8=0$

$4(x-y)=12$

$3y-4x+12=0$

$y=-3$

$y-2=0$

$x=4$

$x+1=0$

$x=0$

$y=0$

Write the slope-intercept form of a straight line.

The slope of a straight line is a of the steepness of the line.

Write the formula for the slope of a line that passes through the points $(x_1,y{}_1)$ and $(x_2,y{}_2)$ .

$y=4x+10$

$y=3x-11$

$y=9x-1$

$y=-x+2$

$y=-5x-4$

$y=x$

$y=-6x$

$3y=4x+9$

$4y=5x+1$

$2y=9x$

$5y+4x=6$

$7y+3x=10$

$6y-12x=24$

$5y-10x-15=0$

$3y+3x=1$

$7y+2x=0$

$y=4$

$\begin{array}{cc}(5,2),& (6,3)\end{array}$

$\begin{array}{cc}(8,-2),& (10,-6)\end{array}$

$\begin{array}{cc}(0,5),& (3,4)\end{array}$

$\begin{array}{cc}(1,-4),& (3,3)\end{array}$

$\begin{array}{cc}(0,0),& (-8,-5)\end{array}$

$\begin{array}{cc}(-6,1),& (-2,7)\end{array}$

$\begin{array}{cc}(-3,-2),& (-4,-5)\end{array}$

$\begin{array}{cc}(4,7),& (4,-2)\end{array}$

$\begin{array}{cc}(-3,1),& (4,1)\end{array}$

$\left(\frac{1}{3},\frac{3}{4}\right),\left(\frac{2}{9},-\frac{5}{6}\right)$

Moving left to right, lines with slope rise while lines with slope decline.

Compare the slopes of parallel lines.

$\begin{array}{cc}\text{Slope=}4,& y\text{-intercept=}5\end{array}$

$\begin{array}{cc}\text{Slope=}3,& y\text{-intercept=}-6\end{array}$

$\begin{array}{cc}\text{Slope=}1,& y\text{-intercept=}8\end{array}$

$\begin{array}{cc}\text{Slope=}1,& y\text{-intercept=}-2\end{array}$

$\begin{array}{cc}\text{Slope=}-5,& y\text{-intercept=}1\end{array}$

$\begin{array}{cc}\text{Slope=}-11,& y\text{-intercept=}-4\end{array}$

$\begin{array}{cc}\text{Slope=}2,& y\text{-intercept=}0\end{array}$

$\begin{array}{cc}\text{Slope=}-1,& y\text{-intercept=}0\end{array}$

$\begin{array}{cc}m=3,& (4,1)\end{array}$

$\begin{array}{cc}m=2,& (1,5)\end{array}$

$\begin{array}{cc}m=6,& (5,-2)\end{array}$

$\begin{array}{cc}m=-5,& (2,-3)\end{array}$

$\begin{array}{cc}m=-9,& (-4,-7)\end{array}$

$\begin{array}{cc}m=-2,& (0,2)\end{array}$

$\begin{array}{cc}m=-1,& (2,0)\end{array}$

$\begin{array}{cc}(2,3),& (3,5)\end{array}$

$\begin{array}{cc}(4,4),& (5,1)\end{array}$

$\begin{array}{cc}(6,1),& (5,3)\end{array}$

$\begin{array}{cc}(8,6),& (7,2)\end{array}$

$\begin{array}{cc}(-3,1),& (2,3)\end{array}$

$\begin{array}{cc}(-1,4),& (-2,-4)\end{array}$

$\begin{array}{cc}(0,-5),& (6,-1)\end{array}$

$\begin{array}{cc}(2,1),& (6,1)\end{array}$

$\begin{array}{cc}(-5,7),& (-2,7)\end{array}$

$\begin{array}{cc}(4,1),& (4,3)\end{array}$

$\begin{array}{cc}(-1,-1),& (-1,5)\end{array}$

$\begin{array}{cc}(0,4),& (0,-3)\end{array}$

$\begin{array}{cc}(0,2),& (1,0)\end{array}$

$y\le x+2$

$y<-\frac{1}{2}x+3$

$y>\frac{1}{3}x-3$

$-2x+3y\le -6$

$2x+5y\ge 20$

$4x-y+12>0$

$y\ge -2$

$x<3$

$y\le 0$