yep! (and i think you mean y = mx + b)

the letters are anything you want them to be; we merely use y and x because it’s more common. but you can you any letter of the alphabet (except e, which means a specific value just like the symbol pi does).

it could look like:

w = 3q + 6 if you wanted to. it’s just not very conventional 🙂

so you have the correct slope and intercept there, good for you!

For your first question, y – 3x = 7, everything you do to one side of the equation must also be done to the other side. The person taking notes was not completely clear in showing that. They added 3x to both sides. y – 3x + 3x = y, because the 3x cancels. On the other side, 7 becomes 7 + 3x. Now you have y = 7+3x. or y=3x + 7 this is in the format y = mx + b, m = 3, b = 7. In this equation the y intercept is b, because the y intercept is the place where the line touches the y axis, it has a coordinate where x equals 0. so y = 3 * 0 + 7, y = 7. In problem 2: 2y = 5x – 4 This is close to the format y=mx+b, but not quite because y is multiplied by 2. To fix this, you can divide 2y by 2, but you must also divide the other side of the “=” by 2. 2y / 2 = y (5x – 4)/2 = (5/2)x -(4/2) y = (5/2)x – 2 now it is also in the format y = mx + b, m = 5/2, b = -2. I hope this helps, 15 minutes to spare

d=y

8=m

x=x

b=7

Just changing “y” to a “d” to confuse you.

Yes…

… yes … pay attention in class please. in that case your Y axis is your D axis … but it is still (and quite obviously) in the correct format.