?x-intercept ?(8?,0?); slope 6 in standard form

Question

equation in standard form 

Answer 1

Standard form is written as follows

Ax+By=C

you have a point and a slope so you can start by writing the equation in point slope form where m is the slope and y1 and x1 are from the coordinate you were given.

 

y-y1=m(x-x1)

 

so that becomes

y-0=6(x-8)

then simplified to

y=6x-48

 

to get to standard form you need both variables on one side of the equation so subtract 6x from both sides and you end up with

 

-6x+y=-48

or alternatively subtracting y and -48 from both sides

6x-y=48