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:

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

Step-by-step explanation:

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

$\frac{y+2}{13+2} =\frac{x-2}{-4-2}$

$\frac{y+2}{15} =\frac{x-2}{-6}$

$\frac{y+2}{5} =\frac{x-2}{-2}$

-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).