What is the equation of the line that passes through the following points?: (2,3),(1,5),

1 Answer

2x+y-7=02x+y7=0

Explanation:

You can find the slope, mm, of the line first.
m=(y_2-y_1)/(x_2-x_1)m=y2y1x2x1
So slope= -2=2
Then you can find the equation; you can choose any point you like, I choose ( 1,5)(1,5).
The equation is given by;
(y-y_1)=m(x-x_1)(yy1)=m(xx1)
(y-5)=-2(x-1)(y5)=2(x1)
y-5=-2x+2y5=2x+2
SO the equation is 2x+y-7=02x+y7=0