Answer:
8x - 5y = -75 or y = 1⅗x + 15
Step-by-step explanation:
5x + 8y = 16
-5x - 5x
_____________
8y = -5x + 16
___ ________
8 8
y = -⅝x + 2
↑
slope
Now, Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes [Slopes]:
-⅝ → 1⅗ [or 8⁄5]
7 = 1⅗[-5] + b
-8
15 = b
y = 1⅗x + 15 >> Perpendicular Line in Slope-Intercept Form
If wanted in Standard Form:
y = 1⅗x + 15
-1⅗x - 1⅗x
_____________
-1⅗x + y = 15 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
-5[-1⅗x + y = 15]
8x - 5y = -75 >> Perpendicular Line in Standard Form
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