Answer:
Explanation:
The standard form equation is y = mx + k where m is the slope and k is the y-intercept.
In this problem, it is first asking you for the slope of y = 2x + k. Therefore, the slope would be 2. In the next blank, it is asking for the slope of y = -1/2x + k. In that case, it would have a slope of -1/2.
When you multiply these slopes together, you'll notice that the you'll get -1. Whenever the slopes of 2 equations multiplied together is equal to -1, then those 2 equations are perpendicular to each other.
Finally, it is asking if the statement that says the lines are perpendicular is true. Like mentioned above, because the slopes multiply to -1, they are perpendicular equations making the statement always true.
Answers: 2, -1/2, -1, always.