Question

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


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 1

1. Solve the given equation for y. You'll get an equation of the form y = mx + b.
m is the slope.
2. The line that is parallel to it has the same slope, m. To get its equation, use the form of the equation y - y1 = m(x - x1), where (x1, y1) is the known point and m is the slope you obtained above. Substitute x1, y1, and m into this equation to get the equation of the parallel line.