Can anyone tell me why b is part of y=mx+b. my teacher thought it would be a fun extra credit assignment. :S?

Answer 1

The 'b' tells you where the line will cross the y-axis, and is therefore called the y-intercept. There are an infinite number of lines that have the same m-value (slope) and an infinite number of lines with the same x-value.
Both y = 3x + 6 and y = 3x - 4 are the same except for the y-intercepts. These lines are the same slope, having the same m-value, and will be parallel lines.

Answer 2

If you had only y= mx, you would have lines that would go through (0,0) only. Inclusion of "b" indicates that a line crosses the x=0 axis at the point (0,b). Thus is it the y-intercept.

Answer 3

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