Question

Write the equation of a line parallel to the line 2x + 3y = 5 and passes through the point (9, -3)

Answer 1

A. y equals negative two-thirds x plus 3
B. y equals negative two-thirds x plus five-thirds
C. y = 2x – 21
D. y equals negative two-thirds x minus 9

Answer 2

2x + 3y = 5
-parallel=same slope but different y intercept so
2x+3y=5
3y=-2x+5
y=(-2/3)x+5/3
slope= -2/3\
y=(-2/3)x+b
and we have point (9, -3) where x=9 and y=-3
-3=(-2/3)(9)+b
-3=-18/3+b
-3=-6+b
3=b
so the equation is y=(-2/3)x+3

Answer 3

so A