Question

The equation of a proportional relationship is y = mx.
The general equation for a proportional relationship is the ________ as the general equation for any line, just with b __________ to ________.

Answer 1

Answer:

Step-b  y = mx + b

can be written as

   mx - y = -b

which is in your "standard form" - the sum of a multiple of x and a  

multiple of y is equal to a constant.

And the line

   x = k

is already in "standard form," with A = 1, B = 0, and C = k.

This form doesn't tell you what y is for a given x, because that can't  

be done for all lines. What it does is to say that any point (x,y) for  

which Ax + By has a particular value is on this line.

So the value of standard form is that it can be applied to all lines,  

including vertical lines, which can't be written in slope-intercept  

form. And that, in turn, is because it is "unbiased": it treats x and  

y in the same way, rather than putting y in a special position.

What's awkward about "standard form" is that the parameters A, B, and  

C do not stand for something obvious, as in the other forms. In fact,  

they are not fixed; if you double them all, you still have the same  

line. But, rewriting the standard form in slope-intercept form,

y-step explanation: