Find an equation of the line parallel to y = -x – 5 and that passes through the point (-5, -1)
Urgent

Answer (assuming it can be written in slope-intercept format):

Step-by-step explanation:

1) First, figure out the slope of the line. We know it has to be parallel to the line y = -x -5. That equation is already in slope-intercept format, represented by the equation . The number in place of represents the slope, thus -1 must be the slope of that line.

All lines that are parallel have the same slope, thus -1 is the slope of the new line as well.

2) Next, use the point-slope formula to write the equation of a line. Since represents the slope, substitute -1 in its place. Since and represent the x and y values of a point the line intersects, substitute the x and y values of (-5, -1) into the formula as well. Then, isolate y to find the following answer and equation:

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

step-by-step explanation: