Question

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

Answer 1

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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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Answer 2

Answer:
`y-intercept(s): (0,5)`

`Slope: m=2`

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`