Answer:
3y - 7x = - 9
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 = - [tex]\frac{3}{7}[/tex] x - 1 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{7}[/tex]
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}{-\frac{3}{7} }[/tex] = [tex]\frac{7}{3}[/tex]
Rearrange the given equations to find which slope matches m = [tex]\frac{7}{3}[/tex]
Consider 3y - 7x = - 9
Add 7x to both sides
3y = 7x - 9 ( divide all terms by 3 )
y = [tex]\frac{7}{3}[/tex] x - 3 ← in slope- intercept form
with slope = [tex]\frac{7}{3}[/tex]
Thus 3y - 7x = - 9 represents a perpendicular line
