Question

I’m crying rn I need helppp (number 4 ignore the rest) -1/2 to be left alone like without the x and what happened to the 5/2??

Answer 1

Explanation:

The parallel line will have an equation of the form

`y = -(1)/(2)x + b`

We solve for b by plugging in the values of the point (3, -4):

`-4 = -(1)/(2)(3) + b`

`\Rightarrow -8 = -3 + 2b`

Solving for b, we get

`b = -(5)/(2)`

Therefore, the equation of the line parallel to 2x + 4y = 10 is

`y = -(1)/(2)x -(5)/(2)`

In standard form we can write

`x + 2y = -5` or
`2x + 4y = -10`