Find the ratio in which the Y-axis Davides the line segment joining the points (7,3) and (-4,5).also find the coordinates of the point of intersection.
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7:4 is the ratio in which the Y-axis Divides the line segment joining the points (7,3) and (-4,5) (0 , 47/11) is coordinates of the point of intersection.
Step-by-step explanation:
line segment joining the points (7,3) and (-4,5).
Slope = (5 - 3)/(-4 - 7)
= 2/(-11)
= -2/11
y = -2x/11 + c
=> 3 = -14/11 +c
=> c = 47/11
=> y = -2x/11 + 47/11
=> 11y = -2x + 47
=> 2x + 11y = 47
at y axis x = 0
=> y = 47/11
(0 , 47/11) is coordinates of the point of intersection.
let say ratio is m : n
=> 0 = (-4m + 7n)/8
=> 4m = 7n
=> m/n = 7/4
7:4 is the ratio
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