Question

Write the equation of the line that is parallel to the line 2x+3y=5 and contains the point (-2,1).

Answer 1

rewrite you given line in point slope form

\[y =\frac{ -2x}{3} + 5\]

this line has a gradient of -2/3

so the equation of a parallel line will be

\[y = \frac{-2x}{3} + b\]

substitute x = -2 and y = 1 to find the value of b

Answer 2

a. 2x-3y =7
b. 3x-2y=7
c. 3x+2y=5
d. 2x+3y=-1

Answer 3

d?