Question

Write each equation in slope-intercept form. underline the slope and circle the y-intercept in each equation 5x+3y=30

The slope - intercept form is: ___

Answer 1

Hi there!

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I believe your answer is:

`y = \underline{-(5)/(3)}x + \boxed{10}`

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Here’s why:

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`\text{Converting to Slope-Intercept Form:}\\5x + 3y = 30\\\rule{150}{0.5}\\\rightarrow 5x - 5x + 3y = 30 - 5x\\\\\rightarrow 3y = 30-5x\\\\\rightarrow(3y=30-5x)/(3)\\\\\rightarrow y = 10 -(5)/(3)x\\\\\rightarrow \boxed{y = -(5)/(3)x + 10}`

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`\text{General Slope-Intercept Formula:}\\y = mx + b\\\rule{150}{0.5}\\$\bullet \text{ }m -\text{Slope}\\$\bullet \text{ }b -\text{Y-Intercept}\\\rule{150}{0.5}\\\text{In the given equation, the slope would be } -(5)/(3) \text{ and the y-intercept would be } 10.`

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`y = \underline{-(5)/(3)}x + \boxed{10}`

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Hope this helps you. I apologize if it’s incorrect.