A line passes through (9,2) and (12,-4). Write the equation of the line in standard form. A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16

A line passes through (9,2) and (12,-4).So, x = 9, y = 2x = 12, y = -4

For the 1st equation,

2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.

Answer:

A. 2x + y = 20

Hope you could get an idea from here.

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