If (7,5) lies the graph of the linear equation 4x = ay+8 , then the value of a
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Step-by-step explanation:
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put the value of x and y at their respective places
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Answered by
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Given:
Linear equation : 4x = ay + 8
The point (7, 5) lies on the graph
To Find:
The value of a
Solution
Given the point (7, 5):
⇒ x = 7, y = 5
Substitute x = 7, y = 5 into the equation to solve for a:
4(7) = a(5) + 8
28 = 5a + 8
5a = 20
a = 4
Answer: a = 4
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Additional notes:
If we substitute a = 4 into the equation:
⇒ we get 4x = 4y + 8
Recall that y = mx + c.
If we can rearrange the equation:
4x = 4y + 8
4y = 4x - 8
y = x - 2
From the equation, we can find out additional information:
⇒ gradient = 1
⇒ y-intercept = -2
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