What is the slope and intercept of #y = 3x+1#?
The slope is 3
Compare to standard form of
You will observe the value of 3 is where the
This means that the gradient is
The fact that 3 is positive is important. It means that if you follow the graph from left to right then the line is going up.
If the gradient is negative (minus sign) then the slope is going down left to right.
In the standard form equation the