4.2 Graph linear equations in two variables  (Page 4/7)

$y=3x-1$

$y=2x+3$

$y=\mathrm{-2}x+2$

$y=\mathrm{-3}x+1$

$y=x+2$

$y=x-3$

$y=\text{−}x-3$

$y=\text{−}x-2$

$y=2x$

$y=3x$

$y=\mathrm{-4}x$

$y=\mathrm{-2}x$

$y=\frac{1}{2}x+2$

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

$y=\frac{4}{3}x-5$

$y=\frac{3}{2}x-3$

$y=-\frac{2}{5}x+1$

$y=-\frac{4}{5}x-1$

$y=-\frac{3}{2}x+2$

$y=-\frac{5}{3}x+4$

$x+y=6$

$x+y=4$

$x+y=\mathrm{-3}$

$x+y=\mathrm{-2}$

$x-y=2$

$x-y=1$

$x-y=\mathrm{-1}$

$x-y=\mathrm{-3}$

$3x+y=7$

$5x+y=6$

$2x+y=\mathrm{-3}$

$4x+y=\mathrm{-5}$

$\frac{1}{3}x+y=2$

$\frac{1}{2}x+y=3$

$\frac{2}{5}x-y=4$

$\frac{3}{4}x-y=6$

$2x+3y=12$

$4x+2y=12$

$3x-4y=12$

$2x-5y=10$

$x-6y=3$

$x-4y=2$

$5x+2y=4$

$3x+5y=5$

$x=4$

$x=3$

$x=\mathrm{-2}$

$x=\mathrm{-5}$

$y=3$

$y=1$

$y=\mathrm{-5}$

$y=\mathrm{-2}$

$x=\frac{7}{3}$

$x=\frac{5}{4}$

$y=-\frac{15}{4}$

$y=-\frac{5}{3}$

$y=2x$ and $y=2$

$y=5x$ and $y=5$

$y=-\frac{1}{2}x$ and $y=-\frac{1}{2}$

$y=-\frac{1}{3}x$ and $y=-\frac{1}{3}$

Motor home cost. The Robinsons rented a motor home for one week to go on vacation. It cost them $594 plus $0.32 per mile to rent the motor home, so the linear equation $y=594+0.32x$ gives the cost, $y$ , for driving $x$ miles. Calculate the rental cost for driving 400, 800, and 1200 miles, and then graph the line.

Weekly earnings. At the art gallery where he works, Salvador gets paid $200 per week plus 15% of the sales he makes, so the equation $y=200+0.15x$ gives the amount, $y$ , he earns for selling $x$ dollars of artwork. Calculate the amount Salvador earns for selling $900, $1600, and $2000, and then graph the line.

Explain how you would choose three x - values to make a table to graph the line $y=\frac{1}{5}x-2$ .

What is the difference between the equations of a vertical and a horizontal line?