Question

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(2, 4) and
B(5,1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation is y =

Answer 1

Answer:

  y = -x +6

Step-by-step explanation:

The 2-point form of the equation for a line through points (x1, y1) and (x2, y2) is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

For your given points, this is ...

  y = (1-4)/(5-2)(x -2) +4 . . . . with given points filled in

  y = -1(x -2) +4 . . . . . . . . . . . simplify a bit

  y = -x + 6 . . . . . . . . . . . . . . simplify to slope-intercept form