Question

Write down the equation of the line whose slope is -1 and which passes through P, where P divides the line segment joining A (-1,2) and B (3,6) in the ratio 1:3​

Answer 1

Answer:

y=-1+3

Step-by-step explanation:

slope = -1

y intercepts = 3

Answer 2

Answer:

let, the equation of the straigth line is y=mx+c

given m= -1

so, we have to define the position of the straight line(X,Y)

to know the intersect we know the rule

(X,Y)=((mx2+nx1)/m+n), ((my2+ny1)/m+n)

here m:n is 1:3

(x1,y1)=(-1,2) and (x2,y2)=(3,6)

so, the position is, (X,Y) =((3-3)/3+1),((6+6)/3+1)

=0,3

now we have to define the constant c

so y=mx+c

3=(-1)(0)+c

c=3

finally, the equation of the straight line is y=(-1)x+3

x+y=3