Line r has an equation of y=(6)/(7)x+1 . Line s includes the point (7,-7) and is ndicular to line r. What is the equation of line s? Write the equation in tercept form . Write the numbers ; in the equation as simplified proper fractions , improper fractions, or integers. square

To find the equation of line s, we need to determine its slope and then use the point-slope form of a linear equation to find the equation of the line.Step 1: Find the slope of line r.The slope of a line can be found by looking at the coefficient of x in the equation. In this case, the slope of line r is .Step 2: Find the slope of line s.Since line s is perpendicular to line r, the slope of line s is the negative reciprocal of the slope of line r. Therefore, the slope of line s is .Step 3: Use the point-slope form to find the equation of line s.The point-slope form of a linear equation is given by , where is a point on the line and m is the slope.Using the point and the slope , we can substitute these values into the point-slope form: Simplifying this equation, we get: Step 4: Convert the equation to slope-intercept form.To convert the equation to slope-intercept form, we need to solve for y: Expanding and simplifying, we get: Combining like terms, we have: Simplifying further, we get: Therefore, the equation of line s in slope-intercept form is: