What is the equation where the line passes through the point (8,4) and has a slope of −3/2 .

Question

The line is negative and the slope is -3/2. 

Answer 1

I am sure you meant to say the SLOPE OF THE LINE is negative, not that the LINE is negative.

 

In point-slope form, the equation of a line is

 

y - y₀ = m(x - x₀)

 

m = -3/2

x₀ = 8

y₀ = 4

 

y - 4 = (-3/2)(x - 8)

 

You can easily convert this to standard form or some other form, if you wish.