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 determine the equation of the line that is parallel to and passes through the point .
Step 1: Identify the slope of the given line.
The slope () of the line is , as it's the coefficient of .
Step 2: Use the point-slope form, , where and the point .
Substitute into the point-slope form:
Step 3: Simplify this equation to obtain the slope-intercept form:
Calculate the right side:
Add 2 to both sides to isolate :
This equation, , is in slope-intercept form and matches choice 4.
Thus, the equation of the line parallel to and passing through is .