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Which of the following is an equations of the line passing through the points (-1,4) and (1,2)

Which of the following is an equations of the line passing through the points (-1,4) and-example-1
User Anger
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1 Answer

10 votes

Answer:

y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)

Explanation:

You need to do slope-intercept formula and the slope formula.

The Slope-Intercept Formula: y=mx+b

The Slope Formula: y2 - y1 / x2-x1

Your coordinates:

(-1,4) and (1,2)

2 - 4/1- (-1)

-2/2

Simplified is -1

Your "m" in the slope-intercept formula is -1

Formula: y=-1x + b

Now, you need to find the Y-Intercept which is the "b"

Using our slope-intercept formula, you need to plug in "x1" and "y1"

4 = -1(-1) + b

4 = 1 +b

4-1 = b

3 = b

So your equation is:

y = -1x + 3 or y = -x + 3

User MOHRE
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5.4k points