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Stolb23 [73]
2 years ago
8

Select the three equations that pass through the points (–4, –16) and (5, 2): y + 4 = 2(x – 16) y – 2 = 2(x – 5) y = 2x – 8 y +

16 = 2(x + 4
Mathematics
1 answer:
LenaWriter [7]2 years ago
8 0

The three equations that pass through the points (–4, –16) and (5, 2) are y - 2 = 2(x - 5), y = 2x - 8 and y + 16 = 2(x+4)

<h3>Equation of a line</h3>

The equation of a line in point-slope form is expressed as:

y - y1 = m(x-x1)

  • m is the slope of the line
  • (x1, y1) is the point on the line

Given the coordinate points  (–4, –16) and (5, 2)

Get the slope

m =\frac{2+16}{5+4}\\&#10; m =\frac{18}{9}\\&#10; m = 2

Substitute m= 2 and (5, 2) into the equation to have:

y - 2 = 2(x - 5)

Expand

y - 2 = 2x - 10

y = 2x - 8

ALso using the coordinate point (-4, -16)

y - (-16) = 2(x-(-4))

y + 16 = 2(x+4)

Hence the three equations that pass through the points (–4, –16) and (5, 2) are y - 2 = 2(x - 5), y = 2x - 8 and y + 16 = 2(x+4)

Learn more on equation of a line here: brainly.com/question/18831322

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