Question

1. A line passes through (−1, 7)(−1, 7) and (2, 10)(2, 10).

Which answer is the equation of the line?

a: −3x+y=4−3x+y=4

b: −x+y=8−x+y=8

c: −x+y=12−x+y=12

d: −3x+y=16

2. There is 1 inch of water in a pool. The water level is increasing at 0.75 inches per minute. Which linear equation represents the total depth of the water, in inches, after x minutes?

a: 1+y=0.75x1+y=0.75x

b: y=0.75x+1y=0.75x+1

c: y=0.75xy=0.75x

d: x=0.75y

3. Which answer is an equation in point-slope form for the given point and slope?
Point: (5, 9)(5, 9); Slope: 2

a: y−9=2(x−5)y−9=2(x−5)

b: y−5=2(x+9)y−5=2(x+9)

c: y−9=2(x+5)y−9=2(x+5)

d: y+9=2(x−5)

Answer 1

1. y-7=(10-7)/(2--1)*(x--1)
y-7=x+1
-x+y=1+7
answer: -x+y=8 (letter b)

2. y=0.75x+1 because it begin in 1 and increase 0.75in per each hour (letter b)

3. letter a, only replace the pointinto the formula y-y1=slope*(x-x1), for your ponit x1=5 and y1=9