Find the slope of a line parallel to the graph of each question y=-1/2x-1

1. -1/2

2. -2/3

4. 0

5. -3/4

Step-by-step explanation:

Parallel lines have the same slope. To find the slope from the equation, use the form y=mx +b by finding m.

1. y= -1/2x - 1 has m=-1/2. This is the same slope for the parallel line.

2. y = -2/3x -1 has m = -2/3. This is the same slope for the parallel line.

4. y = 6 is a line through the y-intercept 6 on the y-axis. Because this is a horizontal line, the slope is 0. A parallel line will have 0 as the slope too.

5. 3x + 4y = 12 needs to be converted to y =mx+b.

4y = -3x +12

y= -3/4 x + 3

The slope is -3/4 so the parallel line will have the same slope.

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