graph this line using the slope and y - intercept! y = -\\frac{4}{9}x + 6 click to select points on the graph.

Explanation:

Step1: Identify y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-\frac{4}{9}x + 6$, $b = 6$. So, plot the point $(0,6)$ on the graph.

Step2: Identify slope

The slope $m=-\frac{4}{9}$. This means for every 9 units we move to the right along the x - axis, we move 4 units down along the y - axis. From the point $(0,6)$, move 9 units to the right to $x = 9$, and 4 units down to $y=6 - 4=2$. Plot the point $(9,2)$.

Step3: Draw the line

Connect the points $(0,6)$ and $(9,2)$ with a straight line. This line represents the graph of $y =-\frac{4}{9}x+6$.

Answer:

Graph the line by plotting $(0,6)$ (y - intercept) and then using the slope to find another point like $(9,2)$ and connecting them.