# How do you find the slope and y intercept of y + 1 = 1(x + 2)?

Aug 2, 2018

The slope is 1.

The y-intercept is at (0, 1).

#### Explanation:

$y + 1 = 1 \left(x + 2\right)$

This equation is in point-slope form:

Based on the picture, we know that the slope is the value multiplying $x - {x}_{1}$, so the slope is $1$.

To find the $y$-intercept, plug in $0$ for $x$ and solve for $y$:
$y + 1 = 1 \left(x + 2\right)$

$y + 1 = 1 \left(0 + 2\right)$

$y + 1 = 2$

$y = 1$

Therefore, the $y$-intercept is at $\left(0 , 1\right)$.

Hope this helps!

Aug 2, 2018

Slope $1$, $y$-intercept of $1$

#### Explanation:

It may be more intuitive by converting this equation into slope-intercept form

$y = m x + b$, with slope $m$ and a $y$-intercept of $b$. Let's start by distributing the $1$ on the right to get

$y + 1 = x + 2$

Next, let's subtract $1$ from both sides to get

$y = x + 1$

We see that our slope is $1$, and so is our $y$-intercept.

Hope this helps!