105k views
1 vote
Need an explanation, thx

Need an explanation, thx-example-1
User Kpimov
by
8.0k points

2 Answers

3 votes
Check out the attached photo
Need an explanation, thx-example-1
User Johlrich
by
7.5k points
2 votes

Answer:

see explanation

Explanation:

calculate the slope m using the slope formula and equate to the given slope

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

(a)

(x₁, y₁ ) = (- 3, - 4 ) and (x₂, y₂ ) = (0, y )


(y-(-4))/(0-(-3)) =
(y+4)/(0+3) =
(y+4)/(3) , then


(y+4)/(3) = 2 ( multiply both sides by 3 )

y + 4 = 6 ( subtract 4 from both sides )

y = 2

ordered pair is (0, 2 )

(b)

(x₁, y₁ ) = (- 2, 2 ) and (x₂, y₂ ) = (x, 5 )


(5-2)/(x-(-2)) =
(3)/(x+2) , then


(3)/(x+2) =
(3)/(7) ( cross- multiply )

3(x + 2) = 21 ( divide both sides by 3 )

x + 2 = 7 ( subtract 2 from both sides )

x = 5

ordered pair is (5, 5 )

(c)

(x₁, y₁ ) = (x, 5 ) and (x₂, y₂ ) = (1, - 5 )


(-5-5)/(1-x) =
(-10)/(1-x) , then


(-10)/(1-x) =
(-5)/(2) ( cross- multiply )

- 5(1 - x) = - 20 ( divide both sides by - 5 )

1 - x = 4 ( subtract 1 from both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

ordered pair is (- 3, 5 )

(e)

(x₁, y₁ ) = (- 6, y ) and (x₂, y₂ ) = (8, 2 )


(2-y)/(8-(-6)) =
(2-y)/(8+6) =
(2-y)/(14) , then


(2-y)/(14) = -
(1)/(7) ( cross- multiply )

- 7(2 - y) = 14 ( divide both sides by - 7 )

2 - y = - 2 ( subtract 2 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

ordered pair is (- 6, 4 )

User Keith Marshall
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories