GCSE math, perpendicular lines

Question

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

y=1/4+5

Answer 1

I believe the information given are:

Point (0,2) and its respective perpendicular line y = (1/4)x + 5

First, let's find the slope of the line equation:

m * (1/4) = -1

Thus, m = -4. Then, put the point (0,2) and m=-4 into the formula (y-y₁) = m(x-x₁)

You'll find that

y = -4x + 2