Question

WORTH 35 POINTS HELP MEEEEEEE PLEZ I NEED HELP

Answer 1

Answer:

4x +y = 3

Step-by-step explanation:

Perpendicular lines have slopes that are the negative reciprocals of one another. When the equation of the line is written in standard form like this, the equation of the perpendicular line can be written by swapping the x- and y-coefficients and negating one of them. Doing this much would give you ...

 4x +y = (constant)

Note that we have chosen to make the equation read 4x+y, not -4x-y. The reason is that "standard form" requires the leading coefficient to be positive.

Now, you just need to make sure the constant is appropriate for the point you want the line to go through. So, it needs to be ...

 4(2) +(-5) = constant = 3

The line of interest has equation ...

 4x + y = 3

Answer 2

Answer:

$y = x/4 - 22/4$ (parallel line that passes through (2,-5)

Step-by-step explanation:

$4y = x - 20\\y = x/4 - 5$

here we isolated the original line

now we know that the line will have exactly the same slope but we need to find c in the new line: y = x/4 + c

so, we input the point (2,-5):

$c = - \frac{20}{4} - \frac{2}{4} = -\frac{22}{4} \\y = \frac{x}{4} - \frac{22}{4}$

check that it works: y = 2/4 - 22/4 = -20/4 = -5