Question

y = 6x - 9

Explanation:

Step1: Identify the form

The equation \( y = 6x - 9 \) is in the slope - intercept form of a linear equation, which is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept.

Step2: Determine slope and y - intercept

For the equation \( y = 6x-9 \), comparing with \( y = mx + b \), we can see that the slope \( m = 6 \) and the y - intercept \( b=- 9 \). If we were to graph this line, we would start by plotting the y - intercept at the point \( (0,-9) \) on the y - axis. Then, using the slope (which is the rise over run, \( \frac{6}{1} \)), we would move up 6 units and to the right 1 unit from the y - intercept (or down 6 units and to the left 1 unit) to find other points on the line and then draw the line through those points.

Answer:

The equation \( y = 6x - 9 \) is a linear equation in slope - intercept form with slope \( m = 6 \) and y - intercept \( b=-9 \). If graphing, plot \( (0, - 9) \) and use the slope to find other points.