Which of the following is an equation of the line that passes through the point (-2,3) and has a slope of 1/3

Question

sonyalee77 · Answer

@superdavesuper

sonyalee77 · Answer

Can u show me step by step?

superdavesuper · Answer

nope....not when @wio is already helping :)

thanks @wio!

anonymous · Answer

Okay first of all, remember what exactly a line is.
It has a constant rise over run.

1 / 3   =  (y - 3) / (x - (-2))

anonymous · Answer

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anonymous · Answer

Now we have an equation of the line.  However this form is not a simplified form, so we have to simplify it.

sonyalee77 · Answer

how?

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

Do any of these steps confuse you?  Let me know.

anonymous · Answer

For eqn2 -> eqn3,  I multiplied both sides by (x+2)

the_fizicx99 · Answer

You could've just done y-y1=m(x-x1)

y-3=1/3(x-(-2))

y-3= 1/3x + 0.66
  +3            +3


y = 1/3x + 3.66

texaschic101 · Answer

y = mx + b
slope(m) = 1/3
(-2,3)  x = -2 and y = 3
now we sub and find b
3 = 1/3(-2) + b
3 = -2/3 + b
3 + 2/3 = b
9/3 + 2/3 = b
11/3 = b 
so your equation is : y = 1/3x + 11/3

anonymous · Answer

There is nothing wrong with using the formula
m =  (y-y_0) / (x-x_0)

texaschic101 · Answer

11/3 is the same as 3.66...just to let you know Sonya

the_fizicx99 · Answer

We basically just gave the same answer in different formats, lol ._.

texaschic101 · Answer

true...I, myself, do not like to use point-slope formula unless asked. But that is just me

the_fizicx99 · Answer

Both ways are easy tbh.

anonymous · Answer

I like to use the formula that doesn't require you to solve for any variables and then plug them back in.  In this case that formula is going to be m = (y-y0)/(x-x0), and y-y0 = m(x-x0) is just a single step after that.  It doesn't matter if you do it in the generalized form or after the substitution is done.

texaschic101 · Answer

do it whichever way is easiest for you Sonya :)