draw a line that has the indicated slope and y - intercept. slope = -\\frac{4}{9} and y - intercept (0,6)…

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m=-\frac{4}{9}$ and $b = 6$, the equation of the line is $y=-\frac{4}{9}x + 6$.

Step2: Plot the y - intercept

The y - intercept is the point $(0,6)$. So, plot the point $(0,6)$ on the y - axis.

Step3: Use the slope to find another point

The slope $m=-\frac{4}{9}=\frac{\text{rise}}{\text{run}}$. From the point $(0,6)$, since the rise is $- 4$ (move 4 units down) and the run is 9 (move 9 units to the right), we get to the point $(9,2)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,6)$ and $(9,2)$.

Since this is a graphing problem and we can't actually draw in this text - based format, the steps above describe how to draw the line on the given grid.

Answer:

Follow the steps above to draw the line on the provided graph.