Question

The endpoints of a side of rectangle ABCD in the The coordinate plane are A(2,7) and B(5,1). Find the equation of the line that contains the given statement. The line segment is CD and point C is at (7,2)

Answer 1

• y -2 = -2(x -7) . . point-slope form
• y = -2x+16 . . . . slope-intercept form
• 2x +y = 16 . . . . standard form

Explanation:

The slope of the line AB is ...

... m = (change in y)/(change in x) = (1-7)/(5-2) = -6/3 = -2.

Then in point-slope form, the parallel line through C will be ...

... y -2 = -2(x -7)