Chapter 5.4, Problem 7P

Graph each equation.

$y+1=-\frac{3}{5}(x+5)$

To determine

To graph: The equation $y+1=-\frac{3}{5}(x+5)$ .

Answer to Problem 7P

The graph is

  

Explanation of Solution

Given information:

The point-slope form of the line is

  $y+1=-\frac{3}{5}(x+5)$

Graph:

From the given information, it is observed that the point which the line passes through would be $(-5,-1)$ and the slope would be $m=-\frac{3}{5}$ .

From the definition of slope, if the change in x is 5 units then the change in y would be $-3$ units. So the new point which the line passes through would be $(-5+5,-1-3)=(0,-4)$ .

Therefore, the points that lie on the line are $(-5,-1)$ and $(0,-4)$ .

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