Questions: Graph using the slope and the y-intercept. y = -(1/4)x + 4 Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line.

Solution Steps

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

The y-intercept is the point where the line crosses the y-axis. For the given equation, the y-intercept is $4$. Plot the point $(0, 4)$ on the graph.

The slope $-\frac{1}{4}$ means that for every 4 units you move to the right (positive direction on the x-axis), you move 1 unit down (negative direction on the y-axis). Starting from the y-intercept $(0, 4)$, move 4 units to the right to $(4, 4)$ and then 1 unit down to $(4, 3)$. Plot the point $(4, 3)$.

Final Answer