## kris2685 2 years ago write an equation of the line containing the specified point and perpendicular to the indicated line (0,6),2x -5=y

1. RyanL.

Ok so all you need is a point and a slope. You already have your point (0,6) and now all you need is the slope which you can get from this line: 2x -5=y

2. RyanL.

Can you tell me the slope of the line 2x -5=y

3. kris2685

-3

4. RyanL.

y=mx+b

5. RyanL.

where m is the slope. Can you give it one more shot and tell me the slope?

6. kris2685

2

7. RyanL.

great but since the line we are looking for is perpendicular to this the slope actually has to be a negative reciprocal. That's fancy math talk of saying - 1/2

8. RyanL.

now we use the point slope form. $y-y_1=m(x-x_1)$ where $(x_1,y_1)=(0,6)$$m=-\frac{1}{2}$

9. RyanL.

plug that in and solve for y if you have to.

10. RyanL.

Get it?

11. kris2685

y= -1/2 x-6

12. RyanL.

y= -1/2 x+6 actually because you add 6 to both sides. But close enough good job!

13. kris2685

thank you