Because if you ever want to graph that equation you need the actual equation itself to help you graph it.
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You cannot define a line with a single point (a single point only defines itself). You need two points to define a line (and therefore to write the equation for it).
Any vertical line has an undefined slope. The equation of the vertical line is x = a where the x-intercept is a.
The formula for a line is: Y = mX + b
y=-2x+3
As for example if the slope is 3 and the y intercept is 6 then the equation is: y=3x+6