SOLUTION: hi.. i need help with writing and solving an equation in standard form. for instance.. y- intercept=8 and the slope is 3. does that mean the equation in standard form is 3x+y=-8??

You can put this solution on YOUR website!
When you are given the slope (m) and the y-intercept (b), you can start by writing the equation in the slope-intercept form: then convert it to standard form: .
N.B. I've capitalized the A, B, and C in the standard form because the B here is not the b that represents the y-intercept.
You are given the y-intercept, b = 8 and the slope, m = 3, so you can write:
as the slope-intercept form. Now convert to the standard form.

For the second problem, you are given the slope, and the y-intercept, . First, write the slope-intercept form of the equation:
Simplify.
Now convert to standard form:
To clear the fractional x-coefficient, simply multiply through by the denominator, 4.
Standard form sans (without) fractional x-coefficient.
On the third problem, you are correct that the the point (0, -6) is the y-intercept, so you can go through the same process as for the first two problems.
Start with the slope-intercept form.
Now convert to standard form:
and the clear the fraction, multiply through by the denominator, 5.
Standard form sans fractional x-coefficient.