Anas asked in Science & MathematicsMathematics · 5 months ago

# Options are: A. Y=x-3 B. Y= 3x -3 √2?

In the figure below, line p has the equation y=3x Line q is below p, as shown, and q is parallel to p. which of the following is an equation for q?

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• 5 months ago

The first line is:

y = 3x

This is in slope-intercept form of y = mx + b. So we know that the slope is 3 and the y-intercept is 0 (in other words, it goes through the origin, as we can see).

Any parallel line will have the same slope (m = 3), but must have a different y-intercept (b ≠ 0).

So we can immediately pick the answer with the same slope and not have to calculate the exact y-intercept.

Answer:B. y = 3x - 3√2

If they had multiple answers with the same slope, you'd have to figure out the value of b that would give a distance of 3 between the lines. You'd get two possible answers.

b = ± 3√2

But then noticing that the line is *below* the first line through the origin, you'd know that it had to be -3√2.

UPDATE: