Question 1111377
You can use calculus to find the slope.

4x+3y=6


3y=6-4x


y=(-4/3)x+2


Differentiate implicitly:


dy=(-4/3)dx


dy/dx=-4/3


The slope of the line in question must be 3/4, since the product of the slopes of two perpendicular lines is -1.


To find the y-intercept of the line in question, note that the line passes through (-3,5). So that

5=(3/4)(-3)+b


b=29/4


Therefore, the equation of the line in question is


y=(3/4)x+(29/4)