Chapter 8, Problem 9PT

To determine

To state: the slope and y-intercept of the graph

Answer to Problem 9PT

The slope is 3 and the y intercept is $-1$

Explanation of Solution

Given:

Consider the equation: $y=3x-1$

Calculation:

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 $y=3x+\left(-1\right)$ is written in the form of $y=mx+b$

Therefore, the slope is 3 and the y intercept is $-1$

Since, we get the slope and y intercept. Now, graph the y intercept point at $\left(0,-1\right)$

  

Now, 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 3

Move 3 units up and 1 unit right from y intercept to get another point.

So, draw a line through the two points.

  

Conclusion:

Therefore, the slope is 3 and the y intercept is $-1$