## DrPepperx3 Group Title @Directrix 7 months ago 7 months ago

1. DrPepperx3 Group Title

6. Which of the following equations would graph a line parallel to 3x-y=7? a. y= 7x-3 b. y= -3x+7 c. y= -7x+3 d. y= 3x

2. Directrix Group Title

The theorem to use is that parallel lines that are not vertical have the same slope.

3. DrPepperx3 Group Title

A?

4. Directrix Group Title

So, we need to take the given line: 3x-y=7 and write it in slope-intercept form. 3x -y = 7 -3x -3x -------------------- -y = -3x + 67 Multiply both sides by (-1) y = 3x - 7 So, of the options, which ones have a slope of 3?

5. Directrix Group Title

Problem: y = 3x - 7 --> has slope of 3 Option A: y= 7x - 3 --> has slope of 7 Parallel lines have the same slope. So, Option A is incorrect.

6. Directrix Group Title

Look again at the options.

7. Directrix Group Title

@DrPepperx3 Which remaining option has a slope of 3? Look at the coefficient of the x terms.

8. DrPepperx3 Group Title

c

9. Directrix Group Title

y = mx + b where m is the slope and b is the y-intercept y= -7x+3 Option C has a slope of NEGATIVE 7. The given line has a slope of 3. 3 and -7 are not equal. So, the given problem and option C are not parallel.

10. Directrix Group Title

I see an answer option with a slope of 3. Do you see it? It looks a little different because no y-intercept shows.

11. Directrix Group Title

Be brave. Pick one.

12. Directrix Group Title

Two options have been ruled out. One of the remaining two has a slope of 3. Which is it? See the attachment below.

13. DrPepperx3 Group Title

The only logical one to me would be b

14. Directrix Group Title

b. y= -3x+7 has a slope of -3. The given problem 3x - y = 7 ==> y = 3x - 7 has a slope of 3. Parallel lines must have equal slopes. So, Option b is incorrect.

15. Directrix Group Title

It is your work so you can choose to put b. If it were my homework, I would put d. y= 3x because y = 3x is a line with slope 3 so it is parallel to the given line.

16. DrPepperx3 Group Title

I don't understand?

17. Directrix Group Title

There is no way left for me to explain it other than the ways I have. If you don't know the theorem about parallel lines having the same slope, you won't know how to do the problem. You may know the theorem and have it confused with the slopes of perpendicular lines. Perhaps, you can ask a specific question. "I don't understand" does not give me insight into exactly where impasse is in your thinking. I'll attach the theorem here.