Write an equation in standard form of the line passing through the points (4, 3) and (7, 9). The equation is
(Type your answer in standard form.)

  2x -y = 5

Step-by-step explanation:

The 2-point form of the equation of a line is a useful starting point.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (9 -3)/(7 -4)(x -4) +3

  y = 6/3(x -4) +3 = 2(x -4) +3 = 2x -8 +3

Adding 5-y, we get ...

  2x -y = 5

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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step-by-step explanation: