Question

What is the slope of the line represented by the equation y = 6x - 12?

Answer 1

There are different types of equations of lines. 
There are these three main forms, but I'll focus on just 2: 

Slope-Intercept Form:
y = mx + b 

Where,
"m" = slope
"b" = y-intercept

Point-Slope Form:
y - y1 = m(x - x1)

Where, 
"m" = slope
"y1" = A y point on the graph
"x1" = A x point on the graph that correlates with the y value.

y = 6x - 12

Is in the same form of Slope-Intercept: 

So,

y = 6x - 12

m = 6 
b = -12

So our slope is, 
6

Keep in mind if it was a fraction (Example: 6/5, then the slope is 6/5) the slope will be the entire fraction. 

Also remember slope is the RISE over the RUN meaning it is the y value over the x value. So in this case we would go UP 6 and right 1 (because 6 is understood as 6/1).