graph the following features: • y-intercept = -6 • slope = -1/2

Explanation:

Step1: Plot the y - intercept

The y - intercept is the point where the line crosses the y - axis. Given that the y - intercept (b=-6), the coordinates of this point are ((0, - 6)). So we mark the point ((0,-6)) on the coordinate plane.

Step2: Use the slope to find another point

The slope (m =-\frac{1}{2}), which can be written as (m=\frac{\text{rise}}{\text{run}}=\frac{- 1}{2}). Starting from the point ((0,-6)), we move down 1 unit (because the rise is - 1) and then move 2 units to the right (because the run is 2). This gives us the point ((0 + 2,-6-1)=(2,-7)). We can also move up 1 unit and left 2 units from ((0,-6)) to get the point ((0 - 2,-6 + 1)=(-2,-5)).

Step3: Draw the line

After plotting the y - intercept ((0,-6)) and at least one other point (e.g., ((2,-7)) or ((-2,-5))), we draw a straight line passing through these points.

Answer:

The line is drawn by first plotting the point ((0, - 6)) (the y - intercept) and then using the slope (-\frac{1}{2}) to find additional points (such as ((2,-7)) or ((-2,-5))) and drawing a straight line through these points.