Question

What is the equation?

Answer 1

`\displaystyle 5x + 6y = 72\:or\:y = -(5)/(6)x + 12`

Step-by-step 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:

`\displaystyle -8 = -(5)/(6)[24] + b \hookrightarrow -8 = -20 + b; 12 = b \\ \\ \boxed{y = -(5)/(6)x + 12}`

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]

`\displaystyle \boxed{5x + 6y = 72}`

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