Question

If the points (3,8) lies on the graph of the equation 4y = 3x – 15a, find the value of a.

Answer 1

Equation of the graph: 4y = 3x - 15a

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Find the value of a:

Given that (3, 8) lies on the graph, we plug the value x = 3, y = 8 into the equation and solve for a:

4(8) = 3(3) - 15a

Evaluate the brackets:

32 = 9 - 15a

Subtract 9 from both sides:

23 = -15a

Switch sides and multiply both sides by -1:

15a = -23

Divide both sides by 15:

a = -23/15

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Answer: a = -23/15