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Answer:
Part 1) There are infinity locations for the point B
Part 2) see the explanation
Step-by-step explanation:
Part 1) How many possible locations are there for point B?
we know that
The equation of a line in point slope form is equal to
where
substitute
Convert to slope intercept form
Point B can be any point ( different from point A) that satisfies the linear equation
therefore
There are infinity locations for the point B
Part 2) Describes a method to location the point
To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate
Example
Suppose that the x-coordinate of point B is 4
For x=4
substitute in the linear equation
so
The coordinates of point B is (4,10.5)