How do you find the slope and y intercept of #y=2x+5#?
The gradient is +2
The slope is the coefficient of
the gradient (slope) is 2.
This means that for every 1 along the axis (left to right) the y-value increases by 2. This means that there is an upwards slope for left to right (standard direction).
If the slope had been negative; that is
The y-intercept occurs when
In other words; it is the constant where if the constant is k and the coefficient of x is a then we have:
So in this case the y-intercept is the value of k