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

Step-by-step explanation:

The parallel line will have an equation of the form

$y = -\dfrac{1}{2}x + b$

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

$-4 = -\dfrac{1}{2}(3) + b$

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

Solving for b, we get

$b = -\dfrac{5}{2}$

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

$y = -\dfrac{1}{2}x -\dfrac{5}{2}$

In standard form we can write

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