y = mx + b I know what each piece represents. What I am curious
about is why multiplying the x coordinate by the slope then
adding the y intercept always gets you the corresponding y
coordinate. I believe I have this, let me know if I understand
it correctly please and thanks a bunch for your explanation. So
the first line says y = b + the change in y or "Slope" y Took me
a minute but that is saying the distance up to b (3), + the
distance the slope y travels (4) gets you the y-coordinate (7).
Then you needed to prove that slope y was equal to mx So you
said that m is slope y over slope x. Then I believe you replaced
slope x with just x because their values were the same. And this
is the part where I got a little confused. But here goes: You
said that slope y over x (which is slope or in other words m)
times x gets you slope y because the x's cross cancel. Then you
went on to say that slope y equals slope times slope x because
the slope x's cross canceled and left you with slope y. And
since slope x is the sa