# Question #45625

Dec 14, 2016

graph{x-23 [-28.83, 42.4, -30.3, 5.32]}

#### Explanation:

The equation is in slope-intercept form $y = m x + b$, where $m$ is slope and $b$ is y-intercept.

Here, we do not see a visible slope , but it is $\frac{1}{1}$, or the parent linear function $f \left(x\right) = x$. Your y-intercept is $- 23$ because the equation can also be written as $y = x + \left(- 23\right) \setminus \Rightarrow x - 23$.

Another method is to apply transformation rules . An equation with parameters $f \left(x\right) + a$ or $y + a$ would result in up/down shifting of coordinates, from the parent graph.

Your $a$ is negative , so you will shift downwards. The simplest way is to take the origin point, plot it 23 units down from (0,0) or (0,-23), and then plot the other points accordingly based on the parent function $f \left(x\right) = x$.