Question

Select the equation of the graph given below.

• A. y = 2x + 2
• B. 3y = 6x - 15
• C. y - 2x = 4
• D. y = 2x - 4

Answer 1

The correct option is D y = 2x - 4

By looking at the graph, we can easily say that the line passes through the points (2, 0) and (0, -4).

We can identify the equation of the line passing through these points by substituting the points in the equation of the line.

(i) By substituting x = 2 and y = 0 in y = 2x + 2, 0 $\ne$ 6.
$\therefore$ y = 2x + 2 is not the equation of the line in the given graph.

(ii) By substituting x = 2 and y = 0 in 3y = 6x - 15, 0 $\ne$ -3.
$\therefore$ 3y = 6x - 15 is not the equation of the line in the given graph.

(iii) Bysubstituting x = 2 and y = 0 in y - 2x = 4, -4 $\ne$ 4.
$\therefore$ y - 2x = 4 is not the equation of the line in the given graph.

(iv) By substituting x = 2, y = 0 in equation y = 2x - 4, we get
0 = 2(2) - 4 = 0
and also when x = 0, y = -4 substituted in the equation y = 2x - 4, we get
-4 = 2(0) - 0 = -4

$\therefore$ The equation y = 2x - 4 is satisfied by both the points. So, equation of the line in the given graph is y = 2x - 4.