Question

Graph y = 2x +3 and its inverse.

Answer 1

Answer:

Step-by-step explanation:

The equation of the line is $y=2x+3$

On comparing this equation with the slope intercept form of the line y = mx +b

m = 2

b = 3

So first plot the y-intercept. The point is (0,3)

Now, slope can be written as $\text{Slope}=\frac{\text{Rise}}{\text{Run}}$

Rise = 2

Run = 1

Hence, from the point (0,3) move 2 units up and then 1 unit right. So the point should be (1,5)

Now, join the points (0,3) and (1,5) to get the graph of the line.

We know that the graph of inverse of a function is reflection about the line y = x

Hence, we take the reflection of the line y = 2x+3 about y=x to get the graph of the inverse line.

Answer 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 22

Y-Intercept: 3

To find the inverse, interchange the variables and solve for y.

f−1(x)=−3/2+x/2