Question

I need to write an equation for the line containing the given point and parallel to the given line then put it in y=mx+b form.
(3,4); x+2y=7

Answer 1

ok so we have x+2y=7 write this is y=mx+b form

Answer 2

subtract x on both sides:
x-x+2y=-x+7
2y=-x+7
divide both sides by 2:
y=-x/2+7/2
what is the slope here?

Answer 3

1/2

Answer 4

-1/2

Answer 5

ok all parallel lines have the same slope

Answer 6

so our equation parallel to the line x+2y=7 (or y=-x/2+7/2) is y=-x/2+b
so we need to find the y-intercept (aka b)

Answer 7

we know a point (3,4) on this line

Answer 8

x is 3
y is 4
so we have 4=-3/2+b (now you solve for b)

Answer 9

Now I'm lost

Answer 10

I'm not sure of the math.. do I divide -3/2 by 4

Answer 11

to get b by itself what do you add to both sides

Answer 12

4

Answer 13

no!
we have 4=-3/2+b we want b by itself so we need to add 3/2 on both sides

Answer 14

4+3/2=-3/2+3/2+b
4+3/2=0+b
4+3/2=b
b=4+3/2
b=4*2/2+3/2 (common denominator)
b=8/2+3/2
b=11/2
so y=-x/2+11/2

Answer 15

Thanks