Y+3=5/2(x+13)

I have no idea what I am doing wrong.
I keep getting y=5/2x+11 but that's not right.

Question

Y+3=5/2(x+13)

I have no idea what I am doing wrong.
I keep getting y=5/2x+11 but that's not right.

solomonzelman · Answer

$\displaystyle y+3=\frac{5}{2}(x+13)$       like this?

ellie202000 · Answer

yes

solomonzelman · Answer

Above is the *point slope* form of the equation, and you (as I see) would like to convert this to a *slope intercept* form.

solomonzelman · Answer

$\displaystyle y+3=\frac{5}{2}(x+13)$

$(1)$
First, you have to expand the right side.
(Knowing that:  *a*(b+c)= *a*b + *a*c)

$(2)$
Then, subtract 3 from both sides.
(And there will be your answer)

ellie202000 · Answer

So what step am I missing?
$$y+3=\frac{ 5 }{ 2 }(x+13)$$
$$y+3-3=\frac{ 5 }{ 2 }x+14-3$$
$$y=\frac{ 5 }{ 2 }x-11$$

ellie202000 · Answer

@pooja195 
@mathstudent55 
@ParthKohli 
@SolomonZelman

ellie202000 · Answer

The answer is $$y=\frac{ 5}{ 2 }x+\frac{ 59 }{ 2 }$$