Question

The equation of the straight line, the portion of which intercepted between the
coordinate axes being divided by the point(5,4) in the ratio 1:2 is​

Answer 1

Answer:

explanation

Step-by-step explanation:

What will be the equation of line the portion of which, intercepeted by the axes, is divided by the point (-5,4) int the ratio 1:2?

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Equation of line through point (−5,4) and slope m :

y=4+m(x+5)

y -intercept =(0,5m+4)

x -intercept =(−5m+4m,0)

Since (−5,4) divides line segment in the ratio 1:2 , then y -coordinate 4 must be 13 or 23 of the way between 0 and 5m+4

4=0+13((5m+4)−0)⟶m=85

4=0+23((5m+4)−0)⟶m=25

There are 2 lines such that the line segment between the 2 intercepts are divided in the ratio 1:2