Question

Graph y = -2x +3 and its inverse.

Answer 1

The graph of y = -2x + 3 is a straight line

Its slope is - 2

Its y-intercept is + 3

To draw the line you can use these two points (0,3) and (3/2 , 0)

This line does ont pass through the third quadrant. It comes downward from the second quadrant, touches the y-axis at y =3, continues on the rirst quadrant, touches the x-axis at x = 3/2, and contiues into the fourth quadrant.


Graph of its inverse

Exchange y and x in the given function and solve for the new y

x = - 2y + 3 => y = - x/2 + 3/2

It is also a straight line;
Its slope is -1/2
Its y-intercept is 3/2

It is also in the second, first and fourth quadrant

Use these two points to draw the line (0,3/2) and (3,0).

You do not need to know to draw this, but the inverse of a function is its reflection through the line y =x.