Write an equation of the line passing through each of the following pairs of points. a) (−10, 4), (2, −5) b) (5, 7), (−6, −3)

The required equation of the line passing through the coordinates  (−10, 4), (2, −5) is 4y+3x = -14

The required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27

The formula for finding the equation of a line is expressed as:

Given the coordinates (−10, 4), (2, −5)

Get the slope:

Get the required equation

b) For the equation of the line with the coordinates (5,7) and (-6, -3)

Get the slope

m = -3-7/-6-5

m = -10/-11

m = 10/11

The required equation will be:

y - 7 = 10/11(x-5)

11(y-7) = 10(x-5)\

11y - 77 = 10x - 50

11y - 10x = -50 + 77

11y - 10x = -27

Hence the required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27

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answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: