Question

Assess whether the three points (0,4), (7, -6) and (-7,14) lie on a line.

I'm doing y2-y1/x2-x1.

If I do 0,4 and 7,-6 in the above we get 10/7

If I do 0,4 and -7,14, I get -10/-7

I assume these two are the same if the above is correct?

Answer 1

Yes, they both reduce to 10/7 : )

Answer 2

yes, but you made an error twice in calculation the slope
using (0,4) and (7,-6) , the slope
= (-6-4)/(7-0) = -10/7

using (0,4) and (-7,14) , the slope
= (14-4)/(-7-0) = 10/-7
recall that a negative divided by a positive is negative, so
-10/7 = 10/-7

so since the slopes of your two segments are the same, and you used
(0,4) as a "link" for the two segments, they all lie on the same line

Answer 3

Awesome thanks! Sorry, might have questions for a bit ;) I take a online class over here but they give no proper hints bar like 5-7 10 minute youtube videos (And yes this is an actual adult highschool I take!) and half of it doesn't feel like the stuff on the homework. It's a bit frustrating!

Answer 4

Ah right, my bad! Thanks!