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Ket [755]
3 years ago
5

Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

- 2x +  y  = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding  like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

                                  2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

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This problem is solved simply by plugging our x- and y-values into the distance formula:

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Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.

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