Math standard form. help!

y=mx+b is slope-intercept form

Ax+By=C is standard form.

IN y=mx+b, m represents the slope and B represents the y intercept.

To switch from standard form to slope-intercept form all we need to do is get y alone. thats it. By folowing these steps:

-6x+5y=-30

-6x+6x+5y=-30+6x - this cancels the x on the left side of the equation bringing us one step closer to getting y alone

5y=-30+6x

5y / 5=(-30+6x) / 5 -this last step leaves y alone and brings us to slope intercept form.

y=-6+30x

y=30x-6 - i switched the 30x and 6 because y=mx+b not y=b+mx

y=30x-6

SInce m represents the slope and b represents the y itnercept, 30 is the slope and -6 is the y intercept

30=m(slope)

-6=b(y-intercept)

Btw because the slope is 30 it means the line with point like so: / since it has a positive slope.

Hope this helps!

Step-by-step explanation: