Question

Write the following equation in the form y=mx+b.

1. 8x-2y=6

2. -y+2x-7=0

.please can someone help me...!!!!

Answer 1

All you have to do here is solve for y. It will automagically be in the required form. Here is one for starters.

8x- 2y = 6
subtract 8x from both sides
-2y = -8x + 6
divide through by -2
y = 4x - 3

That's it. m = 4, b = -2.

Answer 2

ok.I get the #1 but i don't get the #2.

Answer 3

-y+2x-7=0
-y=2x-7+0
\[\frac{ -y }{ -1}=\frac{ 2x-7 }{ -1}\]
y=-2x+7
m=-2
b=7

Can someone please check my answer is correct.??????

Answer 4

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Answer 5

Well not quite.

when you move the 2x - 7 across the = you are actually subtracting them from both sides, so their signs have to change.

In this case, it is much easier to add y to both sides.

-y+2x-7=0
add y to both sides
2x - 7 = y
since equals signs work both ways
y= 2x - 7

Answer 6

Why 2x become a positive and the 7 became negative.?

Answer 7

This is the original equation (from your question above) -y+2x-7=0

You can add y to both side as I just demonstrated, or you can subtract 2x - 7 from both sides. If you do the latter it goes:

-y+2x-7=0
-y+2x-7 - (2x - 7)=0 - (2x - 7)
-y = -2x + 7
then divide both sides by -1 (or multiply through by -1)
y = 2x - 7