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'll follow these steps:
Now, let's work through each step:
Step 1: The given line is a horizontal line. All horizontal lines have equations in the form , where is a constant value describing the uniform y-position of the line.
Step 2: A line parallel to that also passes through the point would maintain a constant y-value. Since it must pass through , its y-intercept is .
Step 3: Therefore, the equation of the line parallel to through is simply . This ensures it parallels the horizontal direction.
Thus, the algebraic representation of the line parallel to and passing through the point is .