Chapter 8, Problem 37SGR

To determine

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

Answer to Problem 37SGR

The graph of $y=2x-6$ is

  

Explanation of Solution

Given:

  $y=2x-6$

Calculation:

Consider the equation: $y=2x-6$

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 bstands for y intercept.

Hence, the equation $y=2x+\left(-6\right)$ is written in the form of $y=mx+b$

So, the slope is 2 and they interceptis -6.

Graph the y intercept point at (0,-6)

  

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 2

Move 2 units up and 1 unit right fromy intercept to get another point.

Step 4: Draw a line through the two points.

  

Hence the graph of $y=2x-6$ is shown above.

Conclusion:

Therefore, the graph for the given equation is plotted.