Flag 10 grade maths> Find a equation to the straight line whic...
question mark

Find a equation to the straight line which passes through the point (-5,4) and is such that the portion of it between the axis is divided by the point in the ratio 1:2

samaira , 5 Years ago
Grade 10
anser 1 Answers
Aditya Gupta

Last Activity: 5 Years ago

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 1/3 or 2/3 of the way between 0 and 5m+4.
4=0+1((5m+4)−0)/3 ⟶ m=8/5  4=0+2((5m+4)−0)/3 ⟶ m=2/5
There are 2 lines such that the line segment between the 2 intercepts are divided in the ratio 1:2
they are
y=8x/5+12 and y=2x/5+6
or 8x−5y+60=0 and 2x−5y+30=0
kindly approve :)

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...