Which equation, in point-slope form, represents a line with m=1/6 that goes through the point (-5,4) ?

The equation for this line is y - 4 = (x + 5).

We already have all the information we need to write this equation in point-slope form. That's because all you need to write an equation in point slope form is the slope and the coordinates of one point. Since we have that, w+ e can start making the equation. The equation of a line in point-slope form is written as:

y₁ - y = m(x₁ - x)

In this equation, (x, y) is the coordinate of the point we know and m is the slope. Substituting all the values gives us our answer of: y - 4 = (x + 5).