Question What is an equation of the line that passes through the point (-8,-4) and is parallel to the line x-y=2 Answer Attemptiout of 2 square

To find the equation of the line that passes through the point and is parallel to the line , we need to follow these steps:1. Determine the slope of the given line .2. Use the slope to write the equation of the parallel line.3. Substitute the given point into the equation to find the y-intercept.Step 1: Determine the slope of the given line .The given line can be rewritten in slope-intercept form as . The slope of this line is 1.Step 2: Use the slope to write the equation of the parallel line.Since the parallel line has the same slope as the given line, the slope of the parallel line is also 1. We can use the point-slope form of a linear equation to write the equation of the parallel line: where is the given point and is the slope.Substituting the values, we get: Step 3: Substitute the given point into the equation to find the y-intercept.Substituting the point into the equation , we get: The equation of the line that passes through the point and is parallel to the line is .