7 • 40 = 280

280 - 8y = 32

-8y = 32 - 280 = -248

y = -248 ÷ -8 = 31

Slope of original line = 7/8 so slope of perpendicular = its opposite reciprocal, -8/7

Point slope form: y - 31 = -8/7(x - 40)

7y - 217 = -8(x - 40)

7y - 217 = -8x + 320

8x + 7y = 320 + 217

8x + 7y = 537 (standard form)

7y = -8x + 537

y = -8/7 x + 537/7

g(x) = -8/7 x + 537/7 (function form)