Which of the following is the value of twice the slope of a line perpendicular to the line 2y + x = -4? (A) 1(B) 2(C) 3(D) 4

Step 1: Find the slope of the given line

The equation of the line is given as 2y + x = -4. We can rearrange this into the slope-intercept form (y = mx + b) to find the slope.

2y = -x - 4 y = -1/2x - 2

So, the slope (m) of the given line is -1/2.

Step 2: Find the slope of the line perpendicular to the given line

The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line.

So, the slope of the line perpendicular to the given line is -1/(-1/2) = 2.

Step 3: Find twice the slope of the line perpendicular to the given line

Twice the slope of the line perpendicular to the given line is 2 * 2 = 4.

So, the value of twice the slope of a line perpendicular to the line 2y + x = -4 is 4 (D).