If y = -4 and 5x + 2y = 17 are graphed, what will be the intersection point?
Answer and explanation
Correct answer: (5, -4)
The intersection must satisfy both equations. The equation y = -4 represents a horizontal line, so the y-coordinate of every point on it is fixed at -4. Substitute y = -4 into 5x + 2y = 17: 5x + 2(-4) = 17, so 5x - 8 = 17. Hence 5x = 25 and x = 5. The intersection point is therefore (5, -4), making option A correct. Option B reverses the coordinate order. Option C keeps the correct y-value but gives an x-value that does not satisfy the second equation, while D fails both coordinate requirements. Verification gives 5(5) + 2(-4) = 25 - 8 = 17.
Frequently asked questions
What is the correct answer to this question?
(5, -4)
Why is this the correct answer?
The intersection must satisfy both equations. The equation y = -4 represents a horizontal line, so the y-coordinate of every point on it is fixed at -4. Substitute y = -4 into 5x + 2y = 17: 5x + 2(-4) = 17, so 5x - 8 = 17. Hence 5x = 25 and x = 5. The intersection point is therefore (5, -4), making option A correct. Option B reverses the coordinate order. Option C keeps the correct y-value but gives an x-value that does not satisfy the second equation, while D fails both coordinate requirements. Verification gives 5(5) + 2(-4) = 25 - 8 = 17.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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