The equation of line qr is x + 2y = 2. what is the equation of a line perpendicular to line qr in slope-intercept form that contains point (5, 6)?
y = negative one halfx + seventeen halves
y = 2x − 4
y = negative one halfx + seven halves
y = 2x + 16

y=2x-4

Step-by-step explanation:

step 1

Find the slope of the line QR

we have

x+2y=2

isolate the variable y

2y=-x+2

y=-(1/2)x+1

The slope m is equal to

m=-1/2

step 2

Find the slope of the line perpendicular to line QR

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

m1*m2=-1

we have

m1=-1/2

substitute

(-1/2)*m2=-1

m2=2

The slope of the line perpendicular to line QR is m=2

step 3

Find the equation of the line into slope intercept form

The equation of the line is equal to

y=mx+b

we have

m=2

point (5,6)

substitute and solve for b

6=(2)(5)+b

6=10+b

b=6-10

b=-4

The equation is equal to

y=2x-4

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.