What is the equation in slope-intercept form of the line that crosses through the point (25,0) and is perpendicular to the line represented by y=-5/7x+3

Answer 1

a perpendicular line will have slope that is the negative inverse. so it will be 7/5. take the slope of the given line and change the sign and flip the fraction upside down. -5/7 becomes +7/5

y=mx + b

y =7x/5 + b

plug in the pont x=25, y=0 to solve for b

0=7(25)/5 + b

b= - 35

y = 7x/5 -35 is the equation of the perpendicular line through the given point (25,0)