I assume you mean y = -6. The slope of this would be zero since it is a horizontal line. For the equation x = -6, the slope would be infinite since this is a vertical line.
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It is slope intercept form. The equation for slope intercept form is y=mx+b which is like your equation y=5x+6
A normal slope-intercept form equation would read: y = mx + b The slope of an equation is also known as 'm'. The y-intercept would count as 'b'. So in a random equation such as: y= 5x + 6 '5' would be the slope and '6' would be the y-intercept.
Equation: y-3 = -5(x-6) => y = -5x+33
It is as for example: y = 3x+6 whereas 3 is the slope and 6 is the y intercept
It is: y = 6x+18 whereas 6 is the slope and 18 is the y intercept