Question

How do you write an equation in point slope form that passes through (-3, 3/4) and has no slope?

Answer 1

The answer depends upon what you mean by "no slope"

Case 1: "no slope" means a slope of zero
In this case the line is a horizontal line and since it passes through `(-3,3/4)` its equation is `y=3/4`

Case 2: "no slope" means the slope is "undefined" (infinite)
In this case the line is a vertical line and since it passes through `(-3,3/4)` its equation is `x=-3`