Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown. line through the points 2 comma 0 and 3 comma 2 with the point 6 comma negative 6 not on the line

Y = -1/2x - 3

You can find this by first taking the slope of the original two points on the line, which is 2. You then take the opposite, inverse of that to find the new line's slope (perpendicular). So, we use -1/2. You can then find a line that uses that slope and the extra point by using either point-slope form and solving or slope intercept form.