Answer:
[tex]\displaystyle 5x + 6y = 72\:or\:y = -\frac{5}{6}x + 12[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 1⅕ becomes −⅚, and we move forward with plugging the information into the Slope-Intercept formula:
[tex]\displaystyle -8 = -\frac{5}{6}[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -\frac{5}{6}x + 12}[/tex]
To write this in Linear Standard Form, perfourm he following:
y = −⅚x + 12
+ ⅚x + ⅚x
___________
⅚x + y = 12 [We cannot leave the equation this way, so multiply the equation by the denominatour to eradicate the fraction.]
6[⅚x + y = 12]
[tex]\displaystyle \boxed{5x + 6y = 72}[/tex]
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