Chapter 8.6, Problem 43E

To determine

To identify:

The slope and y -intercept of the line with the given equation. Use the slope and y -intercept to graph the equation.

Answer to Problem 43E

The slope of the lineis $3$ and the y -intercept is $-2$ .

Explanation of Solution

Given:

An equation: $y=3x-2$ .

Concept used:

The slope-intercept form of equation is $y=mx+b$ , where m represents slope of line and b represents the y -intercept.

Calculation:

Upon looking at our given equation, we can see that the value of m is $3$ and the value of b is $-2$ . Therefore, the slope of the line is $3$ and the y -intercept is $-2$ .

We will start from drawing the y- intercept of our given line. The y -intercept of our given line is $-2$ , so we will start our line from $(0,-2)$ .

Since slope of our given line is $3$ , so rise is $3$ and run is 1.

Upon graphing our given equation, we will get our required graph as shown below: