Answer:
y - 2 = - [tex]\frac{1}{3}[/tex] (x - 7)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 4 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]\frac{m}{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]
The equation of a line in point- slope form is
y - b = m(x - a)
m is the slope and (a, b) a point on the line
Here m = - [tex]\frac{1}{3}[/tex] and (a, b) = (7, 2), thus
y - 2 = - [tex]\frac{1}{3}[/tex](x - 7) ← equation of perpendicular line
