1. The problem is to understand and analyze the linear equation $\frac{1}{4}x + 7 = y$. 2. This is a linear function in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. Here, the slope $m = \frac{1}{4}$, which means for every increase of 1 in $x$, $y$ increases by $\frac{1}{4}$. 4. The y-intercept $b = 7$ means the graph crosses the y-axis at the point $(0,7)$. 5. To find the x-intercept, set $y=0$ and solve for $x$: $$0 = \frac{1}{4}x + 7$$ $$\frac{1}{4}x = -7$$ $$x = -7 \times 4 = -28$$ 6. So the x-intercept is at $(-28, 0)$. 7. This line increases slowly because the slope is positive but less than 1. Final answer: The equation $y = \frac{1}{4}x + 7$ has slope $\frac{1}{4}$, y-intercept $(0,7)$, and x-intercept $(-28,0)$.