Answer:
(14/3, 8/3)
Step-by-step explanation:
Let the points be
The formula for finding the coordinates of point that divides the line in a:b is:
Here x and y are the coordinates of the point that will partition the line into given ratios
Our ratio is 2 to 1,
So,
a=2
b=1
Putting the values in the formula
So the coordinates of point that divides AB in 2:1 are:
(14/3, 8/3) ..
To find the coordinates of point C, divide the x- and y-coordinates of AB in the ratio 2:1.
To find the coordinates of point C, we can use the concept of dividing a line segment in a given ratio. Given that AC:CB is 2:1, we can divide the x- and y-coordinates of the line segment AB in the same ratio.
The x-coordinate of point C is calculated by dividing the difference between the x-coordinates of points A and B by the sum of the ratio (2+1).
The y-coordinate of point C is calculated by dividing the difference between the y-coordinates of points A and B by the sum of the ratio (2+1).
Therefore, the coordinates of point C are (-2, 3).
#SPJ12
y = 5x + 3
O
y = -5x + 2/3
O
y =1/5 x + 7
O
y =-1/5 x + 9
Answer:
y =-1/5 x + 9
Step-by-step explanation:
y = -1/5 x + 9 is perpendicular to y=5x+2/3
Because the product of slopes of perpendicular lines is - 1.
3x+4=2x-7x-9
Thank you!