Question

What are the slope and y-intercept in the equation y = 7 + 5x + 2x + 4?

Answer 1

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What is the slope of the line y=7+5x+2x+4? What about the y-intercept?

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First, we need to combine like terms:-

`\Large\text{y=7+4+5x+2x}`

`\bigstar` On simplification,

`\Large\text{y=11+7x}`

`\bigstar` We can rearrange the terms a little:-

`\Large\textit{y=7x+11}`

Now we can easily determine the slope and the y-intercept of the line.

Slope = number multiplied by x

y-intercept = a number added to or subtracted from x

• Henceforth, we conclude that

`\Large\text{Slope=7 \& y-intercept=11}`

Good luck with your studies.

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Answer 2

Answer: slope is 7 and y-intercept is 11

Explanation:

y = 7 + 5x + 2x + 4

combine like terms

y = 11 + 7x

rearange

y = 7x + 11

slope is 7 and y-intercept is 11