Question

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

Answer 1

slope= (y2-y1)/(x2-x1)
slope=(1-4)/(4-1)
slope=(-3)/(3)
slope=-1
Slope is also named m

Now you use the point slope form to find the whole equation.

y-y1=slope(x-x1)
y-1=-1(x-4)
y-1=-1x+4
y=-1x+5