Question

Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line

y = 1/4x + 5

Answer 1

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

Answer 2

y=-4x+2

Explanation:

The line passes through (0,2), so chuck these numbers in and you get a value of 2 for c. If you're sharp, you might spot that this point is the y-intercept of the line since the x- coordinate is 0, this point is on the Y-axis, and you don't even have to throw numbers in.

Therefore the equation of the line is:

y = -4x + 2

Hope that was clear!