Question

find the equation of the straight line which passes through the point (-1,3) and having x-intercepts thrice of y-intercepts

Answer 1

Answer:

The general equation of a straight line is y=kx+d

So we know 3=k+d

and the y intercept is d (x=0) while the x intercept is at −dk (y=0

).

So d=−3dk

. Combing this we get k=−3 and d=6 or d=0 and k=3

.

3x

intersects both x and y at 0 this works, while 6−3x intersects x and y at 2 and 6 respectively this works too