Answer:
The equation of line perpendicular to given line passing through (3,4) is:
Step-by-step explanation:
Given equation of line is:
Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.
So,
The standard form of slope-intercept form of equation is:
Here, the co-efficient of x is the slope of the line.
So the slope of given line is: 2/3
m = 2/3
The product of slopes of two perpendicular lines is -1
Let m1 be the slope of line perpendicular to given line
Then
The equation of perpendicular will be:
Putting the value of slope
To find the value of b, putting (3,4) in the equation
So the equation of line perpendicular to given line passing through (3,4) is: