Question

Find the slope and y-intercept of the line. = 2x + 5

Answer 1

Answer: $y-intercept(s): (0,5)$  

$Slope: m=2$

Step-by-step explanation:

To find the y-intercept, substitute in $0$ for $x$ and solve for $y$.

Use the slope-intercept form  $y=mx+b$  to find the slope $m$.

$m=2$

Answer 2

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

                   What is the slope and y-intercept of the line $\bold{y=2x+5}$?

$\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}$

Here's a shortcut to find the slope and y-intercept of any line (if it's equation is written like the one above, y=2x+5).

$\texttt{If the equation of the line is in y=mx+b form}$, the slope of the line is the number multiplied by x, and the y-intercept is a positive or negative constant next to the slope.

 Let's look at the equation $\texttt{y=2x+5}$.

What number is multiplied by x?

       2 is the number multiplied by x, so we conclude that 2 is the slope.

         5 is the constant (in this case, it's positive), so we conclude that 5 is the y-intercept.

So the slope is:-

      $\bigcirc\!\!\!\!\!\!\Large\checkmark$ 2

The y-intercept is:-

    $\bigcirc\!\!\!\!\!\Large\checkmark$ 5

Good luck.

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