Answer:
B)
Step-by-step explanation:
We can start by converting this graph into slope-intercept form in order to properly find the slope and the y-intercept.
Slope intercept form:
[tex]\begin{minipage}{0.7\textwidth} \[ y = mx + b \] Where: \begin{itemize} \item $y$ is the dependent variable (vertical axis). \item $x$ is the independent variable (horizontal axis). \item $m$ is the slope, indicating the line's steepness. \item $b$ is the y-intercept (where $x=0$). \end{itemize} \end{minipage}%}[/tex]
Let's covert the expression into this form to identify the correct graph.
Solving:
[tex]y+x+3=0 ~~\text{(Subtract 3 from both sides)}[/tex]
[tex]y+x=-3 ~~\text{(Subtract x from both sides)}[/tex]
[tex]\boxed{y=-x-3}[/tex]
Notice that [tex]m=-1[/tex] and the y-intercept is [tex]-3[/tex].
Graph B changes at a rate of -1 and crosses through the y-axis at (0,-3) and therefore, it is correct.
