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Scaffolded Math and Science: Graphing Linear Equations and ... - Free Printable

Scaffolded Math and Science: Graphing Linear Equations and ...

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Show Answer Key & Explanations Step-by-step solution for: Scaffolded Math and Science: Graphing Linear Equations and ...
1. Find x- and y-intercepts for 2x - 3y ≤ 6.
- x-intercept: Set y = 0 → 2x = 6 → x = 3 → (3, 0)
- y-intercept: Set x = 0 → -3y = 6 → y = -2 → (0, -2)

2. Plot the intercepts (3, 0) and (0, -2) on the coordinate plane.

3. Draw a solid line through the points since the inequality includes equality (≤).

4. Test a point not on the line, such as (0, 0):
- 2(0) - 3(0) = 0 ≤ 6 → True
- Shade the region containing (0, 0).

5. The shaded region represents all solutions to 2x - 3y ≤ 6.
Parent Tip: Review the logic above to help your child master the concept of graphing linear equations worksheet pdf.
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