Question

Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2x + y = -5.

Answer 1

@eta

Answer 2

See, lines are parallel, again find slope of given line..

Answer 3

Slope is -2

Answer 4

So, the other line will have same slope and its y-intercept is also given directly here, so what is the line's equation?

Answer 5

\[y = (Slope) x + (y-intercept)\]

Answer 6

y=-2x+2

Answer 7

Reduced my work.. :P

Answer 8

Good.. That is it..!!

Answer 9

But that's not standard form though

Answer 10

@eta

Answer 11

Can't you write that in standard form?

Answer 12

See, what is standard form? It is shown below:
\[ax + by = c\]

Answer 13

x and y terms on left hand side
constant term on right hand side
The coefficient of \(x\) ie \(a\), should be positive..

Answer 14

Add \(2x\) both the sides and you will have your standard form dear..!!

Answer 15

2x+y=2 ..?

Answer 16

Or is it 2x-y=2?

Answer 17

Nope, look it once again..

Answer 18

How you got \(-y\) ?? How you ended up with \(-\) sign with \(y\) ?

Answer 19

Is it 2x+y=2?

Answer 20

Good.. :)