SOLUTION: A line has slope –5/3. Through which two points could this line pass? It's confusing to me so thank you so much!

Algebra ->  Functions -> SOLUTION: A line has slope –5/3. Through which two points could this line pass? It's confusing to me so thank you so much!      Log On


   



Question 671881: A line has slope –5/3. Through which two points could this line pass?
It's confusing to me so thank you so much!

Found 2 solutions by ewatrrr, ReadingBoosters:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
line has slope –5/3
-5%2F3+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29
-5%2F3+=%280+-+5%29%2F%283+-+0%29 %28y-values%29%2F%28x-values%29
(3,0) and (0,5) would work
(3,0) and
(0,5) m = -5/3

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Any two points!
Choose any two and solve for the y-intercept
...
slope is -5%2F3
...
2 = (-5/3)(3) + b
b = 2 + 5 = 7
...
The line would be y = -5%2F3 + 7
passing through (3, 2)
...
Use the intercept to choose another coordinate set
x = 0
y = -5%2F3(0) + 7 = 7
...
So it also passes through (0, 7)
...
Assigning different starting coordinates
-5 = -5%2F3(9) + b
b = -5 + 15 = 10
...
This line would be y = -5%2F3 + 10
passing through (9, -5)
...
choosing x = -3
y = -5%2F3(-3) + 10
y = 5 + 10 = 15
So, (-3, 15) would be another one for this line.
...
graph%28300%2C200%2C-10%2C10%2C-10%2C15%2C%28-5%2F3%29x%2B7%2C%28-5%2F3%29x%2B10%29
.....................
Delighted to help.
-Reading Boosters
Email: HomeworkHelpers@ReadingBoosters.com
Wanting for others what we want for ourselves.