What is the equation of this line A) y=-4x B) y=4x C) Y= 1/4x D) y=-1/4x

Mathematics

2 answers:

Bingel [31]3 years ago

8 0

Answer: D

Step-by-step explanation: The slope of a line is rise/run or change in y values/change in x values. We will use the two points (-4, 1) and (0,0) for this problem. 0-1/0-(-4) = -1/4

Hitman42 [59]3 years ago

7 0

Answer:

The answer would be D.

Step-by-step explanation:

You can use an online graphing calculator to see the lines for each equation.

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explanation:

The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0. The y-coordinate moves from 4 to -5, or down by 9, so the new y-coordinate must be -5-9 = -14.

An alternate solution would be to substitute (4,4) for (x1,y1) and (2,-5) for (x,y) into the midpoint formula:

x=(x1+x2)/2

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Solving each equation for (x2,y2) yields the solution (0,-14).

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