# Slope-intercept Equation of a Line using two points

**Slope-intercept Equation of a Line using two points**

Since we have already discussed the slope intercept form of the equation of a line.

Substituting the value of *m* from above equation we have(*y* – ) = ( – ),

which can be written as* y= (x-)+*

## Example

- Find the equation of line passing through (2, 1) and (7, 2).Here slope m= = =Substitute the value of m from above we have(y-5)=(x-2)
*or*y=x−+1=x+ - Find the equation of line passing through (3, 0) and (5, 8).Here slope m= = = = 4Substitute the value of m from above we have (
*y –*0) = 4*(x –*3) = 4*x –*12or*y =*4*x*– 12.

### CHECK POINT

- Find the equation of a line passing through (5, 3) & (-5, -3).
- Find the equation of a line passing through (2, 4) & (0, 6) in slope intercept form.
- Find the equation of a line passing through (15, 9) & (9, 15) in slope intercept form.
- Find the equation of a line passing through (0, 3) & (11, -7) in slope intercept form.
- Find the equation of a line passing through (0, 0) & (12, 23) in slope intercept form.

##### Answer key

- 3
*x –*5*y*= 0 or*y**= x* *Y*= (-*x*+ 6)*y*= 24 –x*y**=x + 3**y**= x*

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