write an equation of the line containing the given point and parallel to the given line. express your answer in the form y=mx+b (6,9)x+4y=5

Answer 1

4 y = -x + 5
y = (-1/4) x + 5/4
so m, slope = -1/4

y = -(1/4) x + b
9 = -(1/4)(6) + b
36 = - 6 + 4 b
4 b = 42
b = 10.5
so
y = (-1/4)x + 10.5