What is an equation of the line that passes through the point (-5,-7) and is parallel to the line 3x-5y=10 Answer Attemptiout of 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. Find the slope of the given line .2. Use the slope and the given point to find the equation of the parallel line.Step 1: Find the slope of the given line .To find the slope, we need to rewrite the equation in slope-intercept form, which is , where is the slope and is the y-intercept. The slope of the given line is .Step 2: Use the slope and the given point to find 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 .Now, we can use the point-slope form of a linear equation to find the equation of the parallel line. The point-slope form is , where is a point on the line and is the slope.Using the given point and the slope , we have: To simplify the equation, we can multiply both sides by 5 to eliminate the fraction: Finally, we can rearrange the equation to get it in slope-intercept form: Therefore, the equation of the line that passes through the point and is parallel to the line is .