Question

multiply your number by two and add one. y = 2x + 1 describe what you see:

Explanation:

Step1: Define the input - output relationship

The rule is given by the equation $y = 2x+1$, where $x$ is the input number (IN#) and $y$ is the output number (OUT#).

Step2: General understanding of the linear equation

The equation $y = 2x + 1$ is a linear equation in slope - intercept form ($y=mx + b$, where $m = 2$ is the slope and $b = 1$ is the y - intercept).

Step3: Regarding the graph

When graphing the equation $y = 2x+1$ on the coordinate plane, we can start by plotting the y - intercept, which is the point $(0,1)$ (since when $x = 0$, $y=2\times0 + 1=1$). The slope of 2 means that for every increase of 1 in the $x$ - value, the $y$ - value increases by 2. So we can find other points on the line by using the slope.

Answer:

The input number $x$ is multiplied by 2 and then 1 is added to get the output number $y$. The graph of the equation $y = 2x + 1$ is a straight line with a y - intercept of 1 and a slope of 2.