First, find the slope of the line y = 2x - 7 by comparing with y = mx + b
where m is the slope and b is the intercept
m = 2
Slope of perpendicular lines are inverse of each other
That is;
slope of new equation = - 1/m
= -1 /2
To find the new equation, simply substitute x₁ = 3 y₁ = 7 m = -1/2
into ; y - y₁ = m(x - x₁)
y -7 = -1/2( x - 3)
y - 7 = -1/2 x + 3/2
y = - 1/2 x + 3/2 + 7
y = - 1/2 x + 3+14 /2
y = -1/2 x + 17/2
