**Linear functions** are of the general form, f(x) = ax+b, where ‘a’ and ‘b’ are constants. The relationship between ‘x’ and ‘f(x)’ in a linear equation gives us a straight line.

**Slope **is the rate of change in ‘f(x)’ with respect to the change in ‘x’.

Given two co-ordinate points: (x_{1,} y_{1}) and (x_{2}, y_{2})

Then slope, **m = (y _{2} –y_{1}) / (x_{2} –y_{1})**

**Y-intercept **is the point where the graph touches the Y-axis.

So, when **x = 0, y = b -> ****point = (0,b)**

**Example:**

Find the slope of the points: (1,2) and (4,5)

Slope, m = (5-2) / (4-1)

m = 3/3 **->** **m= 1**

** **** **

**Example: **Graph and write the equation of the line in slope-intercept form given a point (3, 4) and slope 2.

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