Indicate the equation of the line through (2, -4) and having slope of 3/5.

Question

e.mccormick · Answer

Do you know the point slope formula?

anonymous · Answer

no

e.mccormick · Answer

$y-y_1=m(x-x_1)$

anonymous · Answer

so what would be your best answer

e.mccormick · Answer

Well, you are given the point $(2, -4)$ and slope $\frac{3}{5}$.  So the $(x_1,y_y)$ and m are given to you right there.  Put them into that formula.

e.mccormick · Answer

Just be careful with the $y_1$.  The minus a negative becomes a positive.

anonymous · Answer

sorry still can't figure it out

e.mccormick · Answer

Well, what does $y-y_1=m(x-x_1)$ become when you put your given numbers into it?

e.mccormick · Answer

$$\text{Given:}\
(2,-4)=(x_1,y_1)\
m=\frac{3}{5}\
\therefore y-y_1=m(x-x_1) = \text{What?}$$Jut put things in place and that is a formula for your line.  Done.  Answered.  Now, if you need to do something else, like get it into slope-intercept form, that may take a little more.  But if all you need is a valid equation for the line, the answer is as simple as putting those three things into the formula and it is done!