Which equation in point -slope form describes the line that passes through the point (4,-5) and is perpendicular to the line represented by -7x+2y=14.

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

First, rearrange this given equation into slope-intercept form () so we can easily find the slope.

Add 7x to both sides to isolate 2y

Divide both sides by 2 to isolate y

Now, we can identify clearly that the slope of this line is . Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're currently solving for will have a slope of .

2) Plug all necessary values into

We know that and that the given point is (4,-5). Plug the slope into the equation

Plug the point into the equation

I hope this helps!

associative property hopes this ! : )

step-by-step explanation:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: