Reminders (refer to the posts linked above for more details)

Point-slope form looks like this:

(y-y1) = m(x-x1), which is the general way of saying y=mx+b

Standard form looks like this:

Ax + By = C

Point-slope form looks like this:

(y-y1) = m(x-x1), which is the general way of saying y=mx+b

Standard form looks like this:

Ax + By = C

Example: Express the equation y=5x-10 in standard form. State the values for A, B, and C.

Basically, what you want to do is move all the x and y terms over to one side, and move the constants (terms with no variables) over to the other. Combine and simplify where possible. That's all there is to it. "A" will be the term left over in front of x, "B" will be with y, and C will be the value not attached to a variable.

y=5x-10

10=5x-y

So:5x-y=10

A=5, B=(-1), C=10

(remember the standard form has a "+", so a "-" in your answer implies a coefficient of (-1).

Let's try another one:

Example:Express the equation y=(4/3)x+2 in standard form. State the values for A, B, and C.

This one works the same way, but there is something else that can be done, as I will demonstrate.

y=(4/3)x+2

(-2)=(4/3)x-y

So:

(4/3)x-y=(-2)

A=(4/3), B=(-1), C=(-2)

There is nothing wrong with this answer. It is properly rearranged, and the coefficients have been stated. However, usually it is a good idea to not have fractions (ie. have nothing in the denominator). So, to do this, you work our final answer a bit further, so that all the values are in the numerators.

(4/3)x-y=(-2)

Multiply all terms by 3, to remove it from the denominator of the first term. This gives:

4x-3y=(-6)

A=4, B=(-3), C=(-6)

Again, this answer describes the exact same line as the initial answer without the extra moves, so technically, they are both right. It is just a common convention to keep things in the numerator wherever possible.

**Please hit the Like or Google +1 button below if this helped you**. :)

Converting from the Standard Form to the Point-slope form is basically just the reverse. Try it for yourself with these examples!