, 26.12.2019destinyd10189

# Write an equation for the line that is parallel to the given line and that passes through the given point. -x + 5y = 14; (-5,-2) a.) y = -1/5x - 27 b.) y = 5x - 27 c.) y = -1/5x -15 d.) y = -5x -27

To determine the equation that would be perpendicular with a certain line, we must first know the characteristics of a perpendicular line. This line would have a 90 degrees angle with another line so that the slope of this line would be the negative reciprocal of the slope of the other line. To write the equation, given a certain point we use the point-slope form of a line, y -y1 = m(x - x1).

Original line: -x + 5y= 14
y = x/5 + 14/5
slope = 1/5

Perpendicular line's slope = -5
y - y1 = m (x - x1)
y - (-2) = -5 (x - (-5))
y = -5x - 25 -2
y = -5x -27
Solve them all? Or are these options
Idk what it is but ik what can ( not tryna be rude ) download these apps : photo math, quizlet ( if the problem stars with a upper case letter it’s made by the teacher if it’s all lower case it’s on quizlet ).

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

•x + y < 6

(6,6)

• 5x + y = 10

(2,10)

•x + 5y = 14

(14,14/5)

intersection I

x + 5y = 14

5x + y = 10

____________ •2

5x + 25y = 70

5x + y = 10

____________ _

24y = 60

y = 2 1/2 = 2,5

substitusion

5x + y = 10

5x + 2,5 = 10

5x = 7,5

x = 1,5

(1,5 , 2,5)

Intersection II

x + y = 6

5x + y = 10

_____________ _

-4x = -4

x = 1

x + y = 6

y = 6 - 1

y = 5

(1 , 5)

Intersection III

x + y = 6

x + 5y = 14

___________ _

-4y = -8

y = 2

x + y = 6

x = 6 - 2

x = 4

(4 , 2)

SUBSTITUSION

p = 10x + 26y

I.(1,5 , 2,5) = 10(1,5) + 26(2,5) = 15 + 65 = 80. (MINIMUM)

II.(1,5) = 10(1) + 26(5) = 10 + 130 = 140(MAXIMUM)

III.(4,2) = 10(4) + 26(2) = 40 + 52 = 92

SO,MINIMUM VALUE ------> 80

Option a

y + 9 = –2(x – 10)

Step-by-step explanation:

Given that a line passes through (10,-9) and slope =-2

We know that a point slope formula is

Here

Substitute this in the eqution to get

Simplifying this

Option a) is right.

a)

b)

c)

d)

e)

f)

g)

h)

y=5x-27

Step-by-step explanation:

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