Write an equation in point - slope form for the line through the given point with the given slope.

( -4,6); m=¾

The equation in point-slope form is given by:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope.

Substituting the values, we have:

y - 6 = 3/4(x - (-4))

Simplifying,

y - 6 = 3/4(x + 4)