Write the equation of the line that passes through (1, 3) and (4, 4) in standard form.

Question

anonymous · Answer

Standard form is Ax+By=C where A, B, and C are are integers (just plain positive or negative nuymbers without and fractions) 

Can you find slope?

anonymous · Answer

is slop 1/3?

anonymous · Answer

$$slope(m)=\frac{ y2-y1 }{ x2-x1 }$$

anonymous · Answer

Correct

shamim · Answer

formula is$$y-y _{1}=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }(x-x _{1})$$

anonymous · Answer

now what?

anonymous · Answer

Now take one of those points and the slope and plug it into use slope intercept form

shamim · Answer

ok

anonymous · Answer

You do this to find the y int which they call b in the formula $$y=mx+b$$

shamim · Answer

$$x _{1}=1,y _{1}=3,x _{2}=4,y _{2=4}$$

anonymous · Answer

i got 2 2/3..

anonymous · Answer

correct

anonymous · Answer

so now its y=(1/3)x+2 2/3

anonymous · Answer

thats my answer??

anonymous · Answer

2 2/3 is C of the equation Ax+By=C and no thats not the answer yeet

shamim · Answer

ok

anonymous · Answer

i have to plug that in for Ax + By = C ?

shamim · Answer

$$y-3=\frac{ 4-1 }{ 4-3 }(x-1)$$

shamim · Answer

now solve it

anonymous · Answer

Remeber A, B, and C can't have fractions in them so after you move around the equation you get
y=(1/3)x+ 2 2/3 

subtract 1/3 x from both sides 

(-1/3)x+y= 2 2/3 

multiply both sides by 3 to get rid of the fractions we get 

-x+3y=8 <-----

anonymous · Answer

They usually don't have the x to be negative so really x-3y= -8 is a better answer

anonymous · Answer

oh! okay i got it! thank youu!!