c is any constant value
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That is the standard equation to graph a line.
in the equation: y=mx+b , the y-intercept is represented by "b".
Yes, with slope m and y-intercept = (0,c).
If you mean: y = mx+c then m is the slope and c is the y intercept
The equation y = mx + c, is the equation of a line in slope-intercept form. The m term is the slope or first order deriviative (dy/dx) of the line, and the c term is the y-axis intercept.