for each line, determine whether the slope is positive, negative, zero, or undefined.\nline 1\nline 2\nline…

for each line, determine whether the slope is positive, negative, zero, or undefined.\nline 1\nline 2\nline 3\nline 4\npositive\nnegative\nzero\nundefined\npositive\nnegative\nzero\nundefined\npositive\nnegative\nzero\nundefined\npositive\nnegative\nzero\nundefined
Answer
Explanation:
Line 1
- Positive Slope: As (x) increases, (y) increases. The line rises from left to right.
Line 2
- Zero Slope: For any change in (x), (y) remains constant. The formula for slope (m=\frac{\Delta y}{\Delta x}), and (\Delta y = 0).
Line 3
- Undefined Slope: The line is vertical. For a vertical line, (\Delta x=0), and the slope formula (m = \frac{\Delta y}{\Delta x}) results in division by zero.
Line 4
- Negative Slope: As (x) increases, (y) decreases. The line falls from left to right.
Answer:
Line 1: Positive, Line 2: Zero, Line 3: Undefined, Line 4: Negative