Ask a question

Rewrite the function y=3px in y=mx+b form

Is this function linear? If so please rewrite in slope intercept for or intercept slope form.

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Gene G. | You can do it! I'll show you how.You can do it! I'll show you how.
5.0 5.0 (246 lesson ratings) (246)
Yes, the function is linear.  How can you tell?  It's because the term with x in it is just x.  If it had a term with x2 or x3, it would curve instead of being a straight line (linear).
The equation is actually already in slope intercept form!
Besides the unknown variables x and y, there are two constants in y-mx+b, the m, which is the slope of the line, and the b, which is just a constant by itself.  In this problem, m is the 3p, and b is just zero.  To make it look more like mx+b, you could write it like this:
y = (3p)x + 0
The parentheses and the "+0" aren't necessary.  The p is included to show you that there can be other stuff in a linear equation besides x, y, m and b.  If you needed to work with this equation, the problem would have to tell you what value p has.  It will just be some number.  For example, a problem could ask you to graph the equation for p=2, then do it again for p=3, etc.
For example, if p=3, you would have this equation:
y = 2px
y = 2*3*x
y = 6x
I hope this helps.