Maths-
General
Easy

Question

# Identify the equation of a line parallel to the line y = x – 1

## y = 2x - 1x = y - 1x + y = 1y = x + 1 Hint:

## The correct answer is: x = y - 1

### Step-by-step solution:-y = x - 1Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = 1 …...................................................................... (Equation i)Now, we know that slopes of parallel lines are equal.∴ Slope of line parallel to the given line = slope of given line∴ Slope of line perpendicular to the given line = 1∴ We need to find the line from the given options, whose slope = 1.a. y = 2x - 1Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = 2 ≠ 1b. x = y - 1∴ x + 1 = yi.e. y = x + 1Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = 1c. x + y = 1∴ y = -x + 1Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = -1 ≠ 1d. y = x + 1Comparing the above equation with standard form of a line i.e. y = mx + c, we get-m = 1Final Answer:-∴ Option b i.e. x = y - 1 & d i.e. y = x + 1 are both the correct options as both the equations are actually the same.  #### With Turito Foundation. #### Get an Expert Advice From Turito.  