arietaylor112205 arietaylor112205
  • 20-11-2020
  • Mathematics
contestada

Write the equation of the line that passes through the points (4,-6) and (-2,3)

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msknouff msknouff
  • 21-11-2020

Here is your answer and an explanation

Answer: y = -2/3x

Explanation:

This can be determined by calculating the gradient of the straight line, using:

m=ΔyΔx

=−6−34−(−2)

=−96

=−32

Then we use the slope-point form of the straight line:

y−y1=m(x−x1)

to give:

y−3=−32(x−(−2))

∴y−3=−32(x+2)

∴y−3=−32x−3

∴y=−32x

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