Two perpendicular lines intersect in the y-axis. the equation of one line is y-6x-6=0. determine the equation of the other line

y-6x - 6=0

y = 6x + 6; slope = 6 and y intercept b = 6

Perpendicular lines, slope is opposite and reciprocal

so other line has slope = - 1/6, they both intersect in y a-xis so they intersect at (0,6) so other line also has b = 6

Equation of other line

y = -1/6 x + 6

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.