MATH SOLVE

4 months ago

Q:
# Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the liney = 1/4x + 5

Accepted Solution

A:

General Equation of a linear line : y = mx + b

Find the slope:

y = 1/4 x + 5

Slope = 1/4

Slope of perpendicular line = -4

Substitute m = -4 into the equation:

⇒ y = -4x + b

Find y-intercept:

At point (0, 2) ⇒ y-intercept = 2

Substitute b = 2 into the equation

y = -4x + 2

Answer: y = 4x + 2

Find the slope:

y = 1/4 x + 5

Slope = 1/4

Slope of perpendicular line = -4

Substitute m = -4 into the equation:

⇒ y = -4x + b

Find y-intercept:

At point (0, 2) ⇒ y-intercept = 2

Substitute b = 2 into the equation

y = -4x + 2

Answer: y = 4x + 2