Question

If the point (2, – 3) lies on the graph of the equation 2y = ax – 7, then the value of a is

Answer 1

a =
`(1)/(2)`

Explanation:

since (2, - 3 ) lies on the graph then it makes the equation true.

substitute x = 2 and y = - 3 into the equation and solve for a

2(- 3) = a(2) - 7 , that is

- 6 = 2a - 7 ( add 7 to both sides )

1 = 2a ( divide both sides by 2 )

`(1)/(2)` = a