\begin{tabular}{l} What does the following equation represent? \ $$ y-\frac{2}{5} x=3 $$ \ A line with slope $$ -\frac{2}{5} $$ and $$ y $$-intercept $$ (0,3) $$ A \ A line with slope with slope $$ \frac{2}{5} $$ and $$ y $$-intercept $$ (0,3) $$ \ A circle with center $$ \left(0,-\frac{2}{5} ight) $$ \ Somtercept $$ (0,-3) $$ \ \hline\end{tabular}

Question

\begin{tabular}{l} What does the following equation represent? \ $$ y-\frac{2}{5} x=3 $$ \ A line with slope $$ -\frac{2}{5} $$ and $$ y $$-intercept $$ (0,3) $$ A \ A line with slope with slope $$ \frac{2}{5} $$ and $$ y $$-intercept $$ (0,3) $$ \ A circle with center $$ \left(0,-\frac{2}{5}ight) $$ \ Somtercept $$ (0,-3) $$ \ \hline\end{tabular}

UpStudy AI · Accepted Answer

1. Start with the given equation:
   $$
   y - \frac{2}{5}x = 3
   $$

2. Solve the equation for $$ y $$ to express it in slope-intercept form $$ y = mx + b $$:
   $$
   y = \frac{2}{5}x + 3
   $$

3. In the slope-intercept form, $$ m = \frac{2}{5} $$ is the slope and $$ b = 3 $$ is the $$ y $$-intercept (at the point $$(0, 3)$$).

4. Therefore, the equation represents a line with slope $$ \frac{2}{5} $$ and $$ y $$-intercept $$(0, 3)$$.
The equation $$ y - \frac{2}{5}x = 3 $$ represents a line with a slope of $$ \frac{2}{5} $$ and a $$ y $$-intercept at $$(0, 3)$$.

What does the following equation represent?

A line with slope and -intercept A

A line with slope with slope and -intercept

A circle with center

Somtercept

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What does the following equation represent? A line with slope and -intercept A A line with slope with slope and -intercept A circle with center Somtercept