Question

I need help I just got in trouble for not finishing this class in time and now I’ve been stuck on the same section for weeks I have three problems left help please I literally can’t handle the stress I just need the answer I just had a panic attack I can’t do this anymore

Answer 1

Answer:

$y=-\frac{5}{2}x+\frac{11}{4}$

Step-by-step explanation:

To find a line perpendicular to 2x - 5y = 20, we need to find the slope of the line.  To get the slope, we can solve for y, and get the equation in the form of y=mx + b

So I will solve for y:

$2x - 5y = 20\\\\-5y=-2x+20\\\\y=\frac{2}{5} x-4$

So we know the slope is 2/5

The slope of a perpendicular line is the oposite reciprocal of original line.  So the oposite reciprocal of 2/5 is -5/2.  That will be our new slope

Now that we know the slope we can use the point slope formula to find an equation, then solve for y.

y-y₁=m(x-x₁)

y-4 = -5/2(x+ 1/2))

y= -5/2x + 11/4