Question

If the points A(3, -4), B(4, 5) and C(x,14) are collinear, find the value of x.​

Answer 1

Answer:

A(3,-4), B(4, 5) is the right answer

Answer 2

Answer:

For three points, A, B, and C, to be collinear, they must all lie on the same straight line.

Step-by-step explanation:

One way to check if this is the case is to use the slope formula, which states that the slope between two points (x1, y1) and (x2, y2) is equal to (y2 - y1) / (x2 - x1). If the slope between any two points is the same, they are collinear.

So, to find the value of x, we can first find the slope between points A and B, which is (5 - (-4)) / (4 - 3) = 9/1 = 9. Then we can find the slope between points A and C, which is (14 - (-4)) / (x - 3) = 18 / (x - 3). Since the slope between A and B is 9, and between A and C is 18 / (x - 3), for A, B, and C to be collinear, 18 / (x - 3) must be equal to 9.

Solving for x, we get x = 3 + (18 / 9) = 3 + 2 = 5. Therefore, the value of x is 5, and point C is (5, 14). Since the slope between the three points A, B and C is the same, they are collinear.

To learn more about collinear, click on the given link.

https://brainly.in/question/1107081

To learn more about straight line, click on the given link.

https://brainly.in/question/47092640

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