121k views
4 votes
Big ideas math assignment help please!!!!

Big ideas math assignment help please!!!!-example-1
User Leon Gaban
by
7.7k points

1 Answer

2 votes

Answer:

Option C

Explanation:


$$We're tasked with finding the graphical representation of $y=-(3)/(2)x$. \\To understand how to do this, let's examine the slope intercept formula:\begin{center}$y=mx+b$\end{center}Here, $m$ is the slope of the line, and $b$ is the y-intercept. In the given equation $y=-(3)/(2)x$, $-(3)/(2)$ is the slope, and 0 is the y-intercept. Which graph contains these properties?


$$ To determine which graph has a slope of $-(3)/(2)$, one method is to use the slope formula $(y_2-y_1)/(x_2-x_1)$, where $(x_1,y_1)$ and $(x_2,y_2)$ are 2 points along the line.\begin{itemize}\item\textbf{Option A:} There is no need to find the slope of this graph as it has a y-intercept of 2 which does not agree with our equation.\item\textbf{Option B:} Plugging in the points (0,0) and (2,3) into the slope formula:\begin{center}$(3-0)/(2-0)\\$=(3)/(2)$\end{center}
$$Hence, the slope of graph B $=(3)/(2)\\eq -(3)/(2).$\begin{itemize}\item \textbf{Option C:} Plugging in the points (-2,3) and (0,0) into the slope formula:\begin{center}$(0-3)/(0-(-2))$\\=$-(3)/(2)$\end{center} Hence, the slope of graph C $=-(3)/(2)$, which agrees with our equation. So \textbf{Option C} is correct.

User Michbeck
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories