Question

choose the slope intercept equation on the line that passes through the point (4,-6) and is parallel to y=-1/2x+5

Answer 1

One second

Answer 2

Ok here's the work:

Answer 3

So you have the point (4,-6) and you know that the slope has to be the same in order for the line to be parallel....

Answer 4

So you set up an equation using 4 for x and -6 for y

Answer 5

So you have:
-6=-1/2(4)+b

Answer 6

Because you know that -6 which is y is equal to -1/2(the slope) times 4 which is x... but you don't know b(the intercept)

Answer 7

Next step:
-6=-2+b

Answer 8

Just simplify

Answer 9

Now add 2 from each side:

-4=b

Answer 10

Now write your equation since you know the slope (-1/2) and the intercept (-4)

Answer 11

so you get:
y=-1/2x-4

Answer 12

That's your equation... any questions?

Answer 13

no thank you!!

Answer 14

No problem!