Question

4. Aline passing through (4, -2) and intersects the Y-axis at (0,2). Find a point on the line in
the second quadrant.
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Answer 1

A point in the 2nd quadrant be (- 3, 5)

Step-by-step explanation:

The given points are (4, -2) and (0, 2).

Then the line through these points be

(y - 2)/(2 + 2) = (x - 0)/(0 - 4)

or, (y - 2)/4 = x/(- 4)

or, y - 2 = - x

or, x + y = 2 ..... (1)

Let the point on the second quadrant be (- a, b), where a and b are positive real numbers.

Then, - a + b = 2 ..... (2)

Let us put values of a or b to get the pair (- a, b).

Let b = 5. From (1), we get

- a + 5 = 2

or, - a = - 3

Therefore a point in the second quadrant on the given line is (- 3, 5).

Note: Putting different values of a and b, we can obtain many (- a, b) points on the straight line.

Answer 2

Answer:

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Step-by-step explanation:

Please refer to the attachment!!