Which of the following is the equation of the line that passes through the point and is parallel to the line ?

Explanation: Step 1: Find the slope of the given line The equation of the given line is: Comparing this with the slope-intercept form (where is the slope), we get: Step 2: Determine the slope of the parallel line Since parallel lines have identical slopes, the slope ( ) of our new line will also be: Step 3: Use the point-slope form to find the equation The line passes through the point . Using the point-slope formula: Substitute , , and into the formula: Correct Answer The correct option is (a) .

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