Question

which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point (1,3)?

Answer 1

y=2/3x+7/3

Explanation:

-2x+3y=-4

3y=-4-(-2x)

3y=-4+2x

3y=2x-4

y=2/3x-4/3

y=mx+b where m=slope and b=y-intercept,

parallel means same slope,

y-y1=m(x-x1)

y-3=2/3(x-1)

y-3=2/3x-2/3

y=2/3x-2/3+3

y=2/3x-2/3+9/3

y=2/3x+7/3