DepEd MELC reviewer for Grade 8 Mathematics, Quarter 2. Study the rules, worked formulas, and exam hacks below.
Linear Equations in Two Variables
The slope-intercept form is y = mx + b, where m is slope and b is the y-intercept.
Graphing and Slope
| Slope | Line direction |
|---|---|
| Positive | Rises leftโright |
| Negative | Falls leftโright |
| Zero | Horizontal |
| Undefined | Vertical |
Slope = rise over run. Count up/down then left/right between two points.
Systems of Linear Equations
Solve by graphing, substitution, or elimination. The solution is the point where the lines intersect.
Parallel lines (same slope) have NO solution; identical lines have INFINITE solutions.
Worked Example
Find the slope through (1, 2) and (4, 11).
So the line rises 3 units for every 1 unit right.
Before your test, make sure you can confidently do each of the following:
- Explain and apply Linear Equations in Two Variables.
- Explain and apply Graphing and Slope.
- Explain and apply Systems of Linear Equations.
- Explain and apply Worked Example.
Re-read any section above where you hesitate, then try the worked example again without looking.