Maths-
General
Easy

Question

# Identify the equation of a line perpendicular to the line x/2 + y = -1

## y = -1/2 xy = -xy - 2x = 0y + 2x = 0 Hint:

## The correct answer is: y - 2x = 0

### Step-by-step solution:-x/2 + y = -1∴ y = -1 - x/2i.e. Y = -1/2 x - 1Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = -1/2 …...................................................................... (Equation i)Now, we know that slopes of perpendicular lines are negative reciprocals of each other.∴ Slope of line perpendicular to the given line = -1/ slope of given line∴ Slope of line perpendicular to the given line = -1/ -1/2∴ Slope of line perpendicular to the given line = 2∴ We need to find the line from the given options, whose slope = 2.a. y = -1/2 x∴ y = -1/2 x + 0Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = -1/2 ≠ 2b. y = -x∴ y = - x + 0Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = -1 ≠ 2c. y - 2x = 0∴ y = 2x + 0Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = 2d. y + 2x = 0∴ y = -2x + 0Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = -2 ≠ 2Final Answer:-∴ Option c i.e. y - 2x = 0 is the correct option.  #### With Turito Foundation. #### Get an Expert Advice From Turito.  