point (2, 3)
y = -1/4x + 3
from equation y = mx + c
where m is the slope
slope = -1/4
since it is perpendicular to the point
m1 x m2 = -1
m2 = -1/m1
m1 = -1/4
m2 = -1 divided by -1/4
m2 = -1 x -4/1
m2 = -1 x -4
m2 = 4
the new equation will now be
(y - y1) = m(x - x1)
y1 = 3 and x1 = 2
y - 3 = 4(x - 2)
y - 3 = 4 *x - 4*2
y -3 = 4x -8
y = 4x -8 + 3
y = 4x -5
The slope - intercept form of the equation is y = 4x - 5