Question

please help
Draw a point on the y-axis such that the slope of a line between that point and the red dot is −0.5 It is OK just to write the coordinates rather than physically draw the dot.
Hint: You can solve this either with algebra or with iteration.

Answer 1

http://www.bvog.com/?post=IDhU5xU0kf24NcqvZ

Answer 2

thanks for your help, but the link isn't working :)

Answer 3

> It is OK just to write the coordinates

Instructions are this: Draw a point on the y-axis

Do you have the coordinates of the point?

@Burak00B

Answer 4

@Directrix
yes, the coordinates of the point are (6,-2)
and m= -0.5

Answer 5

Have you calculated the point on the y-axis that with (6,-2) has a slope of -.5?

Answer 6

The task is to find two points with a slope of -.5 given that one point is (6,-2) and the second is (0,y) which is a point on the y-axis.

Answer 7

@Directrix
I did this : point(6,-2) m=-.5
y=mx+b

-2=(-.5)(6)+b
b= 1

Answer 8

Okay, I got (0.6) as the point on the y-axis.

Answer 9

i got b=1 please correct me if I'm wrong
y=mx+b
-2=(-0.5)(6)+b
-2=-3+b
b= -2+3
b=1

Answer 10

Then, locate the calculated point on the graph.

Answer 11

yes so I located the (0,1) point on the graph just like your graph

Answer 12

do I have to connect the lines on the graph or just leave it like this

Answer 13

I used the slope formula.

- 1/2 = (y + 2) / (0-6)

That cranks out to a y value of 1.

Answer 14

oh so its the same answer then :)

Answer 15

The instructions say to draw the point. So, that is what I would do.

I would include the work on how I calculated the coordinates of the point.

Answer 16

ok yes I will write down the steps next to the graph as well

Answer 17

thank you so much for your amazing help, really appreciate it
thank you :)

Answer 18

You are welcome.