Can you teach me how to determine the slope using the equation below?
y=6x+3
recall the sloe-intercept form of a line:
y = mx+b
where m is the slope.
slope is defined as the change in y, divided by the change in x.
Since y=6x+3, y changes by 6 whenever x changes by 1. For, consider
y(x) = 6x+3
y(x+1) = 6(x+1)+3 = 6x+9
x has changed by 1, and y has changed by 6. The slope is 6/1 = 6