# How do you find the slope and y intercept of #y=2x+5#?

##### 1 Answer

The gradient is +2

#### Explanation:

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