Chapter 5.4, Problem 5P

Graph each equation.

$y-2=2(x+3)$

To determine

To graph: The equation $y-2=2(x+3)$ .

Answer to Problem 5P

The graph is

  

Explanation of Solution

Given information:

The point-slope form of the line is

  $y-2=2(x+3)$

Graph:

From the given information, it is observed that the point which the line passes through would be $(-3,2)$ and the slope would be $m=2$ .

From the definition of slope, if the change in x is 1 unit then the change in y would be 2. So the new point which the line passes through would be $(-3+1,2+2)=(-2,4)$ .

Therefore, the points that lie on the line are $(-3,2)$ and $(-2,4)$ .

So marking these points on the graph and connecting them using a straight line gives us the graph of the line as shown below: