Slope-intercept Equation of a Line using two points
Since we have already discussed the slope intercept form of the equation of a line.
![Slope-intercept Equation of a Line using two points](jpg/slope4-1.jpg)
Substituting the value of m from above equation we have(y – ) =
(
–
),
which can be written as y= (x-
)+
![Slope-intercept Equation of a Line using two points](https://www.etutorworld.com/wp-content/uploads/2018/11/intercept1-300x137.jpg)
![Slope-intercept Equation of a Line using two points](https://www.etutorworld.com/wp-content/uploads/2018/12/intercept2-1-1.jpg)
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+
which is the slope intercept form obtained using two points.
- 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
- 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
- 3x – 5y = 0 or y =
x
- Y = (-x + 6)
- y = 24 –x
- y =
x + 3
- y =
x
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