Brenda D. answered • 14d

Math's a tool not a terror

The slope is -7/4 from

y = -7/4(x -11) + 9

y = -7/4x + 77/4 + 36/4

y = -7/4x + 113/4

Find the intercepts by setting x = 0 for the y intercept, then y = 0 to find the x intercept

0 = -7/4x + 113/4

Add 7/4x to both sides of the equation

7/4x = 113/4

Multiply both sides by 4/7 to solve for x

x = (4/7)(113/4)

x = 113/7 when y = 0

For the line above, the intercepts are (0, 113/4) and (113/7, 0)

The slope of the line perpendicular to

y = -7/4x + 113/4

Is the positive inverse of -7/4, so

m = 4/7

Use the x intercept coordinates, (113/7, 0) to find b,

0 = 4/7(113/7) + b

0 = 452/49 + b

Subtract 452/49 from both sides of the equation

-452/49 = b

y = 4/7x - 452/49 is perpendicular to the line y = -7/4(x -11) + 9

y = 4/7x - 452/49 is perpendicular to the line y = -7/4x + 113/4

You can plot both lines at Desmos.com to see that they share the same x intercept and are perpendicular.

I hope you find this useful if you have any questions send me a message.