Given the line parallel to the line
and passes through the point .
Which of the algebraic representations is the corresponding one for the given line?
Given the line parallel to the line
and passes through the point .
Which of the algebraic representations is the corresponding one for the given line?
To solve this problem, we begin by noting that since the line is parallel to , it must have the same slope, .
We use the point-slope form of the equation of a line, which is:
Here, the slope and the line passes through the point . Therefore, we substitute these values into the point-slope formula:
Next, we simplify this equation:
Thus, the equation of the line parallel to and passing through the point is:
The corresponding choice is: