Question

question graph the line with the equation y = -\frac{1}{3}x + 4.

Explanation:

Step1: Identify slope and y - intercept

The equation is in slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y=-\frac{1}{3}x + 4$, the slope $m=-\frac{1}{3}$ and the y - intercept $b = 4$.

Step2: Plot the y - intercept

The y - intercept is the point where the line crosses the y - axis. Plot the point $(0,4)$.

Step3: Use the slope to find another point

The slope $m=-\frac{1}{3}=\frac{\text{rise}}{\text{run}}$. From the point $(0,4)$, move 1 unit down (because the rise is - 1) and 3 units to the right (because the run is 3) to get the point $(3,3)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,4)$ and $(3,3)$.

Answer:

Graph a line passing through the points $(0,4)$ and $(3,3)$ on the given coordinate plane.