Question: LESSON PRACTICE 7B
6. positive or negative? +
m = 3/2
7. positive or negative? -
m = -1/2
8. positive or negative? -
m = -1/3
9. positive or negative? +
m = 4/3
Graph position_hint=top-left: line rises from left to right and passes through the origin, with marked points approximately at (-3,-2) and (3,2), slope positive 2/3.
Graph position_hint=top-right: line falls from left to right and passes through the origin, with marked points approximately at (-3,1) and (-5,2), slope negative 1/2.
Graph position_hint=bottom-left: line falls from left to right and passes through the origin, with marked points approximately at (-3,1) and (3,-1), slope negative 1/3.
Graph position_hint=bottom-right: line rises from left to right and passes through the origin, with marked points approximately at (-4,-3) and (4,3), slope positive 3/4.
Help me solve correctly
1. The problem asks to determine if the slope $m$ is positive or negative for each given value.
2. Recall the rule: If $m > 0$, the line rises from left to right (positive slope).
If $m < 0$, the line falls from left to right (negative slope).
3. For $m = \frac{3}{2}$:
- Since $\frac{3}{2} > 0$, the slope is positive.
4. For $m = -\frac{1}{2}$:
- Since $-\frac{1}{2} < 0$, the slope is negative.
5. For $m = -\frac{1}{3}$:
- Since $-\frac{1}{3} < 0$, the slope is negative.
6. For $m = \frac{4}{3}$:
- Since $\frac{4}{3} > 0$, the slope is positive.
7. The graphs confirm these conclusions:
- Top-left graph shows a line rising with positive slope $\frac{2}{3}$.
- Top-right graph shows a line falling with negative slope $-\frac{1}{2}$.
- Bottom-left graph shows a line falling with negative slope $-\frac{1}{3}$.
- Bottom-right graph shows a line rising with positive slope $\frac{3}{4}$.
Final answers:
- 6: Positive
- 7: Negative
- 8: Negative
- 9: Positive