Question 457312
write an equation of the line satisfying
the given conditions in standard form,
Ax + By = C.
m = -3/4 and contains (5,-2)
.
plug the given slope and point into the "point-slope" form:
y - y1 = m(x - x1)
y - (-2) = (-3/4)(x - 5)
y + 2 = (-3/4)x - (-3/4)5
y + 2 = (-3/4)x + 15/4
(3/4)x + y + 2 =  15/4
(3/4)x + y = 15/4 - 2
(3/4)x + y = 15/4 - 4/2
(3/4)x + y = 11/4