Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

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Please help me answer the question in the photo! Will give brainlist :)

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x + 2y ≤ 18 (7)
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B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
2) What does constraint (4) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
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B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.

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(3x + 6) feet.

———————

| |

| | (x - 1) feet

|__________|


(x + 6) feet

___________

| |

| |

| | (x + 6) feet

| |

|__________ |


Sammie bought____feet of fencing.