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# Slope-intercept Equation of a Line using two points

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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

1.  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+ which is the slope intercept form obtained using two points.
2. 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) = 4x – 12or y = 4x – 12.

### CHECK POINT

1. Find the equation of a line passing through (5, 3) & (-5, -3).
2. Find the equation of a line passing through (2, 4) & (0, 6) in slope intercept form.
3. Find the equation of a line passing through (15, 9) & (9, 15) in slope intercept form.
4. Find the equation of a line passing through (0, 3) & (11, -7) in slope intercept form.
5. Find the equation of a line passing through (0, 0) & (12, 23) in slope intercept form.
1. 3x – 5y = 0 or y x
2. Y = (-x + 6)
3. y = 24 –x
4. y = x + 3
5. y x

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