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Step-by-step 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.

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a