Question

Find the ratio in which the y-axis divides the line segment joining the points (6,-4) and (-2,-7). also find the coordinates of point of intersection.

Answer 1

Answer:m1:m2 =6:2

Coordinates=(0,-25/4)

Step-by-step explanation:

Answer 2

The ratio of line segment =  1:3

Coordinates of point of intersection = (0,-6.25)

Given:

Line segment joining the points (6,-4) and (-2,-7)

To find:

1. The ratio in which the y-axis divides the line segment joining the points.
2. The coordinates of point of intersection.

Formula used:

slope of line = $\frac{y_{2}-\ y_{1} }{x_{2} -\ x_{1} }}$

Explanation:

1. The ratio of line segment.

I have attached a graph below

The line can be divide in at y = 0

So length of first segment = 0 - (-2) =2 unit

Length of second segment = 6-0 = 6 unit

Ratio of first segment and second segment = 2 : 6 = 1 : 3

Hence, the ratio is 1 : 3.

2. The coordinates of point of intersection.

Slope of line = $\frac{y_{2}-\ y_{1} }{x_{2} -\ x_{1} }}$

From given line,

(6,-4) = $(x_{1} , y_{1})$

(-2,-7) = $(x_2,y_2)$

slope of line = $\frac{-7\ - (-4)}{-2-6}$ = 0.375

Slope of line can never be changed.

So, now we consider  

$(x_{1} ,y_{1})$ = (6,-4)

$(x_{2} ,y_{2})$ = (0,y)

Slope of line = $\frac{y_{2}-\ y_{1} }{x_{2} -\ x_{1} }}$                    

$0.375 = \frac{y - (-4)}{0-6}$

$0.375 = \frac{y+4}{-6}$

y + 4 = 0.375 × ( - 6 )

y + 4 = - 2.25              

y = - 2.25 - 4                    

y = -6.25

Therefore, the co-ordinates of point of intersection is y = - 6.25.

To learn more....

1) fake coin problem A) shortest hamiltonian circuit

2) floyd warshall algorithm b) class NP

3) Traveling salesman problem c) can deal negative weight edges

4) graph colouring problem d) divide and conquer

a)1-d 2-b 3-a 4-c

b)1-b 2-c 3-a 4-d

c)1-c 2-d 3-b 4-a

d)1-d 2-c 3-a 4-b

brainly.in/question/10041326

2) Your problem should need more than one-step in the solution. Then show how to solve your problem and give the answer Problem:_______________________________________________________________________________________________________________________ Solution:_______________________________________________________________________________________________________________________. Write it using solving percent problems.

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