Given that the slope of a line is 3

4
and passes through (-6, 9), write the equation of
the line in slope-intercept form.

check your typing, are you saying the slope is 3/4 ?

if so, then in y = mx + b
9 = (3/4)(-6) + b
9 + 9/2 = b
b = 27/2

the y = (3/4)x + 27/2