Complete the point-slope equation of the line through ( 6 , 4 ) (6,4)left parenthesis, 6, comma, 4, right parenthesis and ( 7 ,

Response:

y-4 = -2(x-6)

Step-by-step explanation:

I would recommend utilizing a symbolic representation solely to depict your two points:  (6,4) and (7,2).  You aim to ascertain the point-slope equation of the line connecting these two points. As you move from (6,4) to (7,2), the x-coordinate increases by 1 while the y-coordinate decreases by 2; hence, the slope of this line is m = rise / run = -2/1 = -2.

Using information from one of the specified points, we are prepared to write the point-slope equation of this line:

y-4 = -2(x-6).  It is important to note that y-2 = -2(x-7) represents the same equation.

y - 2 = -2(x - 7)

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