Mathematics: Choose the equation that represents a line that passes through points (-6,4) and 2,0) A.) x + 2y = 2 B.) 2x + y = -16 C.) x + 2y = -8 D.) 2x + y = -4

This is a lot of words and i don’t feel like answering it sorry...

Choose the equation that represents a line that

Ответ:

kaylynchalman

20.01.2022

Mathematics

A.) x + 2y = 2

Step-by-step explanation:

The equation of line in two point form is given as:

$\frac{y - 4}{4 - 0} = \frac{x - ( - 6)}{ - 6 - 2} \\ \\ \therefore \frac{y - 4}{4} = \frac{x + 6}{ -8} \\ \\ \therefore \frac{y - 4}{1} = \frac{x + 6}{ -2} \\ \\ \therefore \: - 2(y - 4) = x + 6 \\ \\ - 2y + 8 = x + 6 \\ \\ \therefore \: x + 2y + 6 - 8 = 0 \\ \\ \therefore \: x + 2y - 2 = 0 \\ \\ \huge \red { \boxed{ \therefore \: x + 2y = 2}} \\ is \: the \: required \: equation \: of \: line. \\$

Thus, option A is the correct answer.

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Choose the equation that represents a line that passes through points (-6,4) and 2,0)

A.) x + 2y = 2
B.) 2x + y = -16
C.) x + 2y = -8
D.) 2x + y = -4

Ответ:

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