Find the ratio in which the y axis divides the line segment joining the points (6,-4) and (-2,-7). Also find the point of intersection.
Answers
Step-by-step explanation:
it's very easy one try to solve it yourself
Answer:
this is the answer.....
Step-by-step explanation:
Line segment joining the points (6,-4) and (-2,-7)
To find:
The ratio in which the y-axis divides the line segment joining the points.
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})(x
1
,y
1
)
(-2,-7) = (x_2,y_2)(x
2
,y
2
)
slope of line = \frac{-7\ - (-4)}{-2-6}
−2−6
−7 −(−4)
= 0.375
Slope of line can never be changed.
So, now we consider
(x_{1} ,y_{1})(x
1
,y
1
) = (6,-4)
(x_{2} ,y_{2})(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=
0−6
y−(−4)
0.375 = \frac{y+4}{-6}0.375=
−6
y+4
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.
