4.3 Graph with intercepts  (Page 2/5)

$x+y=4$

$x+y=3$

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

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

$x–y=5$

$x–y=1$

$x–y=\mathrm{-3}$

$x–y=\mathrm{-4}$

$x+2y=8$

$x+2y=10$

$3x+y=6$

$3x+y=9$

$x–3y=12$

$x–2y=8$

$4x–y=8$

$5x–y=5$

$2x+5y=10$

$2x+3y=6$

$3x–2y=12$

$3x–5y=30$

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

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

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

$y=\frac{1}{3}x+4$

$y=3x$

$y=\mathrm{-2}x$

$y=\mathrm{-4}x$

$y=5x$

$–x+5y=10$

$–x+4y=8$

$x+2y=4$

$x+2y=6$

$x+y=2$

$x+y=5$

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

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

$x–y=1$

$x–y=2$

$x–y=\mathrm{-4}$

$x–y=\mathrm{-3}$

$4x+y=4$

$3x+y=3$

$2x+4y=12$

$3x+2y=12$

$3x–2y=6$

$5x–2y=10$

$2x–5y=\mathrm{-20}$

$3x–4y=\mathrm{-12}$

$3x–y=\mathrm{-6}$

$2x–y=\mathrm{-8}$

$y=\mathrm{-2}x$

$y=\mathrm{-4}x$

$y=x$

$y=3x$

Road trip. Damien is driving from Chicago to Denver, a distance of 1000 miles. The x - axis on the graph below shows the time in hours since Damien left Chicago. The y - axis represents the distance he has left to drive.

1. ⓐ Find the x - and y - intercepts.
2. ⓑ Explain what the x - and y - intercepts mean for Damien.

Road trip. Ozzie filled up the gas tank of his truck and headed out on a road trip. The x - axis on the graph below shows the number of miles Ozzie drove since filling up. The y - axis represents the number of gallons of gas in the truck’s gas tank.

1. ⓐ Find the x - and y - intercepts.
2. ⓑ Explain what the x - and y - intercepts mean for Ozzie.

How do you find the x - intercept of the graph of $3x–2y=6$ ?

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $4x+y=\mathrm{-4}$ ? Why?

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y=\frac{2}{3}x-2$ ? Why?

Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation $y=6$ ? Why?