graph the following features:\n• slope = -2\n• y - intercept = -2

Explanation:

Step1: Write the equation of the line

The slope - intercept form of a line is (y = mx + b), where (m) is the slope and (b) is the (y) - intercept. Given (m=-2) and (b = - 2), the equation is (y=-2x - 2).

Step2: Find two points on the line

• When (x = 0), (y=-2(0)-2=-2). So one point is ((0,-2)).
• When (x = 1), (y=-2(1)-2=-4). So another point is ((1,-4)).

Step3: Plot the points and draw the line

• Plot the (y) - intercept ((0,-2)) on the coordinate plane.
• Use the slope (m=-2=\frac{\Delta y}{\Delta x}) (from the point ((0,-2)), move 1 unit to the right ((\Delta x = 1)) and 2 units down ((\Delta y=-2)) to get the point ((1,-4))).
• Draw a straight line passing through the points ((0,-2)) and ((1,-4)).

Answer:

The graph of the line (y = - 2x-2) is drawn by plotting the (y) - intercept ((0,-2)) and using the slope to find another point ((1,-4)) and then connecting them with a straight line.