XY Plane help please

Question

in the xy intercept line L has a y intercept of -13 and is perpendicular to the line with equation y = -2 / 3x If the point (10,b) is one the line L, what is the value of b

Answer 1

Since the lines are perpendicular, the slope of line L will have to be 3/2 , and since its y-intercept is -13, the equation for L can be written in slope-intercept form as y = 3/2 x - 13. Since the point ( 10, b ) is on line L, we can find b by inserting the x-coordinate of 10 in for x and solving for y in the equation:

y = 3/2 (10) -13 → y = 15 - 13, so y = 2, and the b value in the ordered pair is 2.