We have three responses for you
What you have done is correct, the equation of the line is y = 3x + 24.
The standard form of a line is y = mx + b. In this form m is the slope of the line and b is the y-intercept, that is the point (b, 0) is on the line. That is exactly the form you have, y = 3x + 24. The slope is 3 and (0, 24) is on the line.
Some people get confused between "standard form" and "general form".
General form looks like this:
Ax + By = C
where A, B and C are all integers and A is not negative.
To change your equation
y = 3x + 24
to general form:
3x - y = -24
We are not sure we are using the terms correctly? Wikipedia says that
Stephen La Rocque.
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