Question

The points (3,5) and (-2,10) lie on a line.Find two more points that lie on this line

Answer 1

the points are A(0,8) and B(1,7)

Explanation:

y=a*x+b is the equation of the line

when x=3 then y=5

5=a*3+b so b= 5-3a

when x=-2 then y= 10

10=a*(-2)+b so b=10+2a

b=b so 5-3a=10+2a

+3a +3a

5=10+5a

-10 -10

-5=5a

:5 :5

a=-1

so b=10+2*(-1)=10-2=8

then y=-x+8

so when x=0,y=8 so A(0,8)

and when x=1, y=-1+8=7 so B(1,7)

the points are A(0,8) and B(1,7)