Aline segment has end points (-5, 7) and (4,-3) find the inverse of the line segment and graph both the segment and its inverse.

Answer

See graph

Step-by-step explanation

The given line segment passes through the point and  .

We plot this points and draw a straight line to them to obtain the blue line as shown in the

attachment.

The slope of this line segment is given by the formula



This implies that,





The equation of this line is given by the formula,











We now find the inverse by interchanging x and y.



We now make y the subject,





We now plot some points.

When







This gives the ordered pair



Also when







This gives the ordered pairs,



We plot these points too and draw a straight line through them to get the red line in the attachment.