Find the coordinates of two more points on the line joining (-1, 4) and (1, 2).

Answer 1

Equation of a straight line two-point form:

y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )

In this case:

x1 = - 1 , y1 = 4 , x2 = 1 , y2 = 2

y - y1 = ( y2 - y1 ) ( x - x1 ) / ( x2 - x1 )

y - 4 = ( 2 - 4 ) [ x - ( - 1 ) ] / [ 1 - ( - 1) ]

y - 4 = - 2 ( x + 1 ) / ( 1 + 1)

y - 4 = - 2 ( x + 1 ) / 2

y - 4 = - ( x + 1 )

y - 4 = - x - 1

Add 4 to both sides

y = - x - 1 + 4

y = - x + 3

Take any two x coordinates and calculate the y coordinates.