write slope intercept formof the equation that goes through the point (4,5) and is perpendicular to the line given by the equation y=-4/7x-3

Question

write slope intercept form of the equation that goes through the point (4,5) and is perpendicular to the line given by the equation y=-4/7x-3

Answer 1

5=(7/4)(4) +b slope of a perpendicular line is the negative inverse of -4/7. change the sign and flip the fraction upside down. plug in the point to solve for b, the y intercept

b =5-7 = -2

y= (7/4)x -2 in slope intercept form

or

4y = 7x -2 in integer form