Question

The points (2,-2) and (-4,13) line on the graph of a linear function of x. Which point also lies on the graph of this function?

Answer 1

Answer: The answer is (6,9)

Explanation:

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Answer 2

(0, 3) lies on the line joining (2, -2) and (-4, 13).

Explanation:

The equation of the line joining the points (2, -2) and (-4, 13) is:

`(y+2)/(13+2) =(x-2)/(-4-2)`

`(y+2)/(15) =(x-2)/(-6)`

`(y+2)/(5) =(x-2)/(-2)`

-2(y + 2) = 5(x - 2)

-2y - 4 = 5x - 10

5x + 2y - 6 = 0

When we substitute x = 0 and y = 3,

5(0) + 2(3) = 0 + 6 = 6

So, (0, 3) lies on the line joining (2, -2) and (-4, 13).