If you mean y = -8 then it has no slope and it is a straight line that is parallel to the x axis cutting through the y axis at -8
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x - 4y = 3 is the slope of a line perpendicular to line whose equation is y -5 3x plus 8 3.
The slope intercept form is y=mx+b where m is the slope and b is the y intercept y=2x-8.
Equation: y-3 = -5(x-6) => y = -5x+33
There is no equation there but the slope of the line is the number that multiplies x in the straight line equation y = mx + b whereas m is the slope and b is the y intercept