Question

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

Answer 1

Answer: slope is 7 and y-intercept is 11

Step-by-step explanation:

y = 7 + 5x + 2x + 4

combine like terms

y = 11 + 7x

rearange

y = 7x + 11

slope is 7 and y-intercept is 11

Answer 2

     $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

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

 

     $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

     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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