coordinates of the new station= (5,98/4)
When two lines intersect at a point then the angle between them can be expressed in terms of their slopes and is given by the following formula:
tan θ = |
|where
are the slopes of the line AB and CD respectively.
If
is positive then the angle between the lines is acute. If
is negative then the angle between the lines is obtuse.
Slope of Vertical Lines
Vertical lines have no slope, as they do not have any steepness. Or it can be said, we cannot define the steepness of vertical lines.
A vertical line will have no values for x-coordinates. So, as per the formula of slope of the line,
Slope, m = (y2 – y1)/(x2 – x1)
But for vertical lines, x2 = x1 = 0
Therefore,
m = (y2 – y1)/0 = undefined
In the same way, the slope of horizontal line is equal to 0, since the y-coordinates are zero.
m = 0/(x2 – x1) = 0 [for horizontal line]
Positive and Negative Slope
If the value of slope of a line is positive, it shows that line goes up as we move along or the rise over run is positive.
If the value of slope is negative, then the line goes done in the graph as we move along the x-axis.
Let R,Q,T be the points that divide the line into 3:4 equal parts
Let the Q = (x,y)
R(1, 2) and T(8, 23) ,
x = m1x1+m2x2/m1+m2
y = m1y1+m2y2/m1+m2
X= 3.1+4.8/7
x= 3+32/7
x=35/7
x=5
y=2.3+23.4/3+4
y= 6+92/4
y=98/4
y= 24.5
(x,y) = (5,98/4)
More details: brainly.com/question/15165057
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