What is an equation of the line that passes through the point (-5,-3) and is perpendicular to the line 5x-3y=18 Answer Attempt 1 out of 2 square

To find the equation of the line that passes through the point and is perpendicular to the line , we need to follow these steps:1. Find the slope of the given line .2. Find the slope of the line perpendicular to the given line.3. Use the point-slope form of a linear equation to find the equation of the perpendicular line.Step 1: Find the slope of the given line .To find the slope of the given line, we need to rewrite it in slope-intercept form, which is , where is the slope and is the y-intercept. The slope of the given line is .Step 2: Find the slope of the line perpendicular to the given line.The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line.The slope of the given line is , so the slope of the perpendicular line is .Step 3: Use the point-slope form of a linear equation to find the equation of the perpendicular line.The point-slope form of a linear equation is , where is a point on the line and is the slope.We are given the point and the slope , so we can substitute these values into the point-slope form: Now, we can simplify this equation: Therefore, the equation of the line that passes through the point and is perpendicular to the line is .