Answer:
y - 3 = [tex]\frac{1}{2}[/tex](x - 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = - 2(x + 3) ← is in point- slope form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
passing through (2, 3 ), then
y - 3 = [tex]\frac{1}{2}[/tex](x - 2) ← equation of perpendicular line
