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kodGreya [7K]
2 years ago
9

Which is an equation of the line that goes through the points ( 4, 1) and

Mathematics
1 answer:
Aloiza [94]2 years ago
5 0

Answer:

  none of the above

Step-by-step explanation:

You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.

___

You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given points, we get ...

  y = (3 -1)/(2 -4)·(x -4) +1

  y = 2/(-2)(x -4) +1 . . . . . simplify a bit

  y = -x +4 +1 . . . . . . . . . simplify more

  y = -x +5 . . . . . . . . . . . slope-intercept form

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Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

5

1

= 5

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