Find the value of a so that the point (3, a) lies on the line represented by 2x − 3y + 5 = 0
If a point `(x_1 , y_1)` is said lie on a line represented by ax + by + c = 0 , then the given equation of the line should hold true when the values of the co-ordinates of the points are substituted in it.
Here it is said that the point (3, a) lies on the line represented by the equation 2x - 3y + 5 = 0 .
Substituting the co-ordinates of the values in the equation of the line we have,
2x - 3y + 5 = 0
2(3) - 3(a) + 5 = 0
3a = 6 + 5
3a = 11
`a = 11/3`
Thus the value of ‘a’ satisfying the given conditions is `a = 11/3` .