Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Higher Maths Question Help?
Question: A straight line has equation 2x + y - 3 = 0. If the point (k,-1) lies on this line, find the value of k.
I know how to do this question if I am given coordinates of points on the line but I am unsure how to do this question when given the equation of the line. Can someone please talk me through how I would answer this question?
3 Answers
- 9 years agoFavorite Answer
Right, you need to find a coordinate and the gradient, which can be found from the gradient. So:
2x + y - 3 = 0
Now, if you want a coordinate and gradient you need to rearrange the equation into the form:
y = mx + c
So, to do that, take of 2x and add 3 to get:
y = -2x + 3
Now you know that gradient is -2 and the y intercept is at (0,3)
Now, you know the gradient, a coordinate, and part of a coordinate. So, the gradient formula is:
M = y2 - y1
,,,,, ----------
,,,,, x2 - x1
(0,3) (k, -1)
You can substitute what you know into this equation to get k. So:
-2 = -1 - 3
,,,,,, ---------
,,,,,, k - 0
So:
-2 = -4/k
-2k = -4
k = 2
Hope that helps!
- Anonymous9 years ago
2k + (-1) -3 = 0
2k -4 =0
2k=4
k=2