Answer:
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!
Explanation: