Apath for a new city park will connect the park entrance to main street, as shown to the right. the path should be perpendicular to main street. what is an equation that represents the path?

If your Main Street line has a couple of points that you can find the coordinates ( x1, y1) and (x2, y2) you could determine the slope of the Main Street line : m= (y2-y1)/(x2-x1). Or maybe you can determine what the slope is from the line being a particular line , horizontal, etc. The slope of your path line would be m1 = -1/m. Use some point on this path to write the equation of a line in point- slope from. Suppose ( x3,y3) would be a point , ( look for example for the entrance coordinates), write y= m1(x-x3)+ y3 and plug in then values of m1, x3, y3 to have your path line equation. ~Nesabug :3

If your Main Street line has a couple of points that you can find the coordinates ( x1, y1) and (x2, y2) you could determine the slope of the Main Street line : m= (y2-y1)/(x2-x1). Or maybe you can determine what the slope is from the line being a particular line , horizontal, etc. The slope of your path line would be m1 = -1/m. Use some point on this path to write the equation of a line in point- slope from. Suppose ( x3,y3) would be a point , ( look for example for the entrance coordinates), write y= m1(x-x3)+ y3 and plug in then values of m1, x3, y3 to have your path line equation.