Students will use tables to find five solutions each to four given linear equations and plot the solutions on a coordinate plane. They will consider fixing values for x or y, and whether specific numbers would make the computational work easier. Finally, they will find and plot solutions for the equations x - 3/2y = -2, 1/3x + y = 12, -x + 3/4y = -6, and 2x + y = 5.

1. Learning target:
Students use a table to find solutions to a given linear equation and plot
the solutions on a coordinate plane.

2. 1. Consider the linear equation 𝑥 −
3
2
𝑦 = −2
Will you choose to fix values for x or y? Explain

3. 2. Consider the linear equation 𝑥 −
3
2
𝑦 = −2
Are there specific numbers that would make your computational work
easier? Explain

4. 3. Find five solutions to the linear equation 𝑥 −
3
2
𝑦 = −2
x Linear Equation:
𝒙 −
𝟑
𝟐
𝒚 = −𝟐
y

5. 4. Plot the five solutions to the
linear equation 𝑥 −
3
2
𝑦 = −2
on the coordinate plane.

6. 5. Find five solutions to the linear equation
1
3
𝑥 + 𝑦 = 12
x Linear Equation:
𝟏
𝟑
𝒙 + 𝒚 = 𝟏𝟐
y

7. 6. Plot the five solutions to the
linear equation
1
3
𝑥 + 𝑦 = 12
on the coordinate plane.

8. 7. Find five solutions to the linear equation −𝑥 +
3
4
𝑦 = −6
x Linear Equation:
−𝑥 +
3
4
𝑦 = −6
y

9. 8. Plot the five solutions to the
linear equation−𝑥 +
3
4
𝑦 = −6
on the coordinate plane.

10. 9. Find five solutions to the linear equation 2𝑥 + 𝑦 = 5
x Linear Equation:
2𝑥 + 𝑦 = 5
y

11. 10. Plot the five solutions to
the linear equation
2𝑥 + 𝑦 = 5
on the coordinate plane.