Chapter 8, Problem 39SGR

To determine

To plot:the given equation using the slope and y-intercept.

Answer to Problem 39SGR

The graph of $y=-\frac{1}{4}x+5$ is

  

Explanation of Solution

Given:

  $y=-\frac{1}{4}x+5$

Calculation:

Consider the equation: $y=-\frac{1}{4}x+5$

Step 1: Find the slope and y intercept

The general form of equation of line in slope intercept form is:

  $y=mx+b$

Here, m represents slope intercept and b stands for y intercept.

Hence, the equation $y=-\frac{1}{4}x+5$ is written in the form of $y=mx+b$

So, the slope is $-\frac{1}{4}$ and the y intercept is 5.

Step 2: Graph the y intercept point at (0, 5)

  

Step 3: Use the value of slope to locate the second point.

As, slope is change in y with respect to change in x

Since, slope is $-\frac{1}{4}$

Move 1 unit down and 4 unit right from y intercept to get another point.

Step 4: Draw a line through the two points.

  

Hence, the graph of $y=-\frac{1}{4}x+5$ is shown above.

Conclusion:

Therefore, the graph for the given equation is plotted.