Question

Determine the point that lies on the equation y = -5x - 3.

(4, 12)
(4, -12)
(4, 23)
(4, -23)

Answer 1

(4, -23)

Explanation:

To see if a point is on the equation, substitute its "x" and "y" coordinates into the equation. The points are written as (x, y). If the left side equals the right side, the point is on the line. (LS = RS)

Try (4, 12)

y = -5x - 3

12 = -5(4) - 3

12 = -20 - 3

12 = -23

LS ≠ RS

The point is not on the line.

Try (4, -12)

y = -5x - 3

-12 = -5(4) - 3

-12 = -20 - 3

-12 = -23

LS ≠ RS

The point is not on the line.

Try (4, 23)

y = -5x - 3

23 = -5(4) - 3

23 = -20 - 3

23 = -23

LS ≠ RS

The point is not on the line.

Try (4, -23)

y = -5x - 3

-23 = -5(4) - 3

-23 = -20 - 3

-23 = -23

LS = RS

The point (4, -23) is on the line.