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15 votes
15 votes
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1

User Ragesh Pikalmunde
by
2.7k points

2 Answers

12 votes
12 votes

Answer:

b

Explanation:

User TLindig
by
3.0k points
16 votes
16 votes

9514 1404 393

Answer:

(b) 7x + 2y = 1

Explanation:

You don't need to know how to find the equation. You just need to know how to determine if a point satisfies the equation. Try one of the points and see which equation fits. (The numbers are smaller for point K, so we prefer to use that one.)

7(1) +2(-3) = 1 ≠ -1 . . . . . tells you choice A doesn't work, and choice B does

The equation is ...

7x +2y = 1

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Additional comment

The equations of choices C and D have coefficients with a common factor of 2. If the constant also had a factor of 2, we could say these equations are not in standard form, and we could reject them right away. Since the two points have integer values for x and y, we can reject these equations anyway: the sum of even numbers cannot be odd.

User Rumpel
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2.0k points