Question

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

Answer 1

Hello,

2x + 3y = 5

We know the line is parallel, so it has the same slope. And we want the points 9, -3

Put the equation in y = mx + b

2x + 3y = 5
3x = -2x + 5
x = -2/3x + 5

So we know our slope is -2/3x

Now plug that into the equation

y = y1 = m(x = x1)