Write an equation of the line containing the specified point and perpendicular to the indicated line (-4,5) 7x-2y=1

Equation of a line given

We have to find an equation of a line which is perpendicular to the given line.

If the general equation of a line is , m is the slope of the line there. And the slope of the perpendicular line will be the negative reciprocal of m which is .

So first here we have to make the given equation as

First we have to move 7x to the right side by subtracting it from both sides.

Now to get y we have to move -2, by dividing it on both sides.

So here the slope

Now the slope for the perpendicular equation is

So slope of the perpendicular line is

We can write the perpendicular equation as

Now this equation is passing through the point (-4,5)

We have to plug in x = -4 and y = 5 in the line to get c.

So we have got the value of c. Now we can write the perpendicular equation as,

So we have got the required perpendicular line.

The equation of the perpendicular line is

step-by-step explanation:

b and c

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet