graph the line.\ny = -2x - 1

Explanation:

Step1: Identify y-intercept

When ( x = 0 ), ( y = -1 ). Point: ( (0, -1) ).

Step2: Identify x-intercept

When ( y = 0 ), solve ( 0 = -2x - 1 ): ( x = -\frac{1}{2} ). Point: ( \left(-\frac{1}{2}, 0\right) ).

Step3: Plot and connect points

Draw a straight line through ( (0, -1) ) and ( \left(-\frac{1}{2}, 0\right) ).

Answer:

The line passes through ( (0, -1) ) and ( \left(-\frac{1}{2}, 0\right) ) with a slope of (-2), extending infinitely in both directions.