Question

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

Answer 1

slope of parallel lines are same.

so, first find the slope of 2x+3y=5 .

now you have the slope and a point , apply slope-point form.

Answer 2

How do I find the slope with only one coodinate?

Answer 3

you have to find slope of line 2x+3y=5 that will be the slope of required line also.
you can find it by converting your eq. in the form y=mx+c
then compare.

Answer 4

3y=-5-2x
y= -5/3 - 2/3x
compare it with y=mx+c.

Answer 5

Would the answer be y=-2/3x+5/3?

Answer 6

thus the equation of the line is (y-(-3))= (-2/3)(x-9).