HELP FAST PLEASE I'LL MARK YOU BRAINLIEST What is the slope of a line perpendicular to the line whose equation is x+2y=14. Fully reduce your answer.

Answer 1

To find the slope of a line perpendicular to another line, you can use the fact that the product of the slopes of two perpendicular lines is -1.

First, let's rewrite the given equation in the slope-intercept form (y = mx + b), where m is the slope:

x+2y=14

Subtract x from both sides:

2y=−x+14

Divide by 2:

y=−21​x+7

Now, the slope of the given line is −12−21​.

To find the slope of a line perpendicular to this, take the negative reciprocal:

Slope of perpendicular line=12Slope of perpendicular line=21​

So, the slope of a line perpendicular to the line �+2�=14x+2y=14 is 1221​.

Answer 2

Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/(-1/2) = 2. This is your answer.

Answer 3

So, the equation in slope-intercept form would be 2y = -x + 14, which then becomes y = -0.5x + 7 giving a slope of -0.5.

The slope of the perpendicular line is a negative recipricol, so -0.5 is the same as -(1/2), so the negative recipricol of that is 2, meaning the slope of the perpendicular line will be 2.