Question

How can i find the point-slope equation of this line using the point (3,5) ? Medals will be given to whoever teaches me :)

Answer 1

This is the form.

y = mx + b

This is the point

(3,5)

This is the relationship, created by substitution.

5 = m(3) + b

Maybe rearrange.

b = 5 - 3m

Okay, no you are free to choose ANY slope you like. (You may wish to stay away from m = 0 and m doesn't exist, but you can pick these if you really want. The result is just a bit more complicated to explain.)

Anyway, seriously, pick ANY value for m. Use the relationship to calculate the correct value for b. Done!

m = 1, b = 2 Equation y = x + 2
m = 2, b = -1 Equation y = 2x - 1
m = -3, b = 14 Equation y = -3x + 14

You can do this all day.

Alternatively, you can supply the missing information from the original problem statement.

Answer 2

ahh i see im understanding :)

Answer 3

im going to try one by myself and the points are 1,2

Answer 4

(1,2) and (3,5)?

Answer 5

no just the same thing just finding the equation with the points (1,2)

Answer 6

I'm not convinced we're not having a communication problem.

"points" - plural, more than one.
(1,2) - singular. Just one.

So, what does "the points (1,2)" mean?

Answer 7

sorry i mean point :\

Answer 8

I believe i got confused but the equation i got for the point (1,2) is y=x+1

Answer 9

That is one equation that passes through (1,2). There are infinitely many others.

Answer 10

thank you for your help :)