11.1 Use the rectangular coordinate system  (Page 6/13)

$\left(3,2\right)$

$\left(4,1\right)$

$\left(1,5\right)$

$\left(3,4\right)$

$\left(4,1\right),\left(1,4\right)$

$\left(3,2\right),\left(2,3\right)$

$\left(3,4\right),\left(4,3\right)$

1. ⓐ $(\mathrm{-4},2)$
2. ⓑ $(\mathrm{-1},\mathrm{-2})$
3. ⓒ $(3,\mathrm{-5})$
4. ⓓ $(2,\frac{5}{2})$

1. ⓐ $(\mathrm{-2},\mathrm{-3})$
2. ⓑ $(3,\mathrm{-3})$
3. ⓒ $(\mathrm{-4},1)$
4. ⓓ $(1,\frac{3}{2})$

1. ⓐ $(\mathrm{-1},1)$
2. ⓑ $(\mathrm{-2},\mathrm{-1})$
3. ⓒ $(1,\mathrm{-4})$
4. ⓓ $(3,\frac{7}{2})$

1. ⓐ $(3,-2)$
2. ⓑ $(\mathrm{-3},2)$
3. ⓒ $(-3,\mathrm{-2})$
4. ⓓ $(3,2)$

1. ⓐ $(4,-1)$
2. ⓑ $(\mathrm{-4},1)$
3. ⓒ $(-4,-1)$
4. ⓓ $(4,1)$

1. ⓐ $(\mathrm{-2},0)$
2. ⓑ $(\mathrm{-3},0)$
3. ⓒ $(0,4)$
4. ⓓ $(0,2)$

$2x+y=6$

1. ⓐ $(1,4)$
2. ⓑ $(3,0)$
3. ⓒ $(2,3)$

$x+3y=9$

1. ⓐ $(0,3)$
2. ⓑ $(6,1)$
3. ⓒ $(-3,-3)$

$4x-2y=8$

1. ⓐ $(3,2)$
2. ⓑ $(1,4)$
3. ⓒ $(0,-4)$

$3x-2y=12$

1. ⓐ $(4,0)$
2. ⓑ $(2,-3)$
3. ⓒ $(1,6)$

$y=4x+3$

1. ⓐ $(4,3)$
2. ⓑ $(-1,-1)$
3. ⓒ $(\frac{1}{2},5)$

$y=2x-5$

1. ⓐ $(0,-5)$
2. ⓑ $(2,1)$
3. ⓒ $(\frac{1}{2},-4)$

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

1. ⓐ $(2,0)$
2. ⓑ $(-6,-4)$
3. ⓒ $(-4,-1)$

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

1. ⓐ $(-3,0)$
2. ⓑ $(9,4)$
3. ⓒ $(-6,-1)$

$y=2x-4$

$y=3x-1$

$y=-x+5$

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

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

$x+2y=8$

Weight of a baby Mackenzie recorded her baby’s weight every two months. The baby’s age, in months, and weight, in pounds, are listed in the table, and shown as an ordered pair in the third column.

ⓐ Plot the points on a coordinate grid.

ⓑ Why is only Quadrant I needed?

Weight of a child Latresha recorded her son’s height and weight every year. His height, in inches, and weight, in pounds, are listed in the table, and shown as an ordered pair in the third column.

ⓐ Plot the points on a coordinate grid.

ⓑ Why is only Quadrant I needed?

Have you ever used a map with a rectangular coordinate system? Describe the map and how you used it.

How do you determine if an ordered pair is a solution to a given equation?