Find Points on y = 3/4x + 4: Linear Function Analysis

$y=\frac{3}{4}x+4$

Through which points does the above function pass?

To determine which point the function $y = \frac{3}{4}x + 4$ passes through, we will evaluate the given choices:

• Evaluate the function for $x = \frac{1}{2}$:

$y = \frac{3}{4} \times \frac{1}{2} + 4$

$y = \frac{3}{8} + 4$

$y = \frac{3}{8} + \frac{32}{8}$

$y = \frac{35}{8}$

Thus, the coordinate $\left(\frac{1}{2}, \frac{35}{8}\right)$ lies on the graph.

Therefore, the function passes through the point $\left(\frac{1}{2}, \frac{35}{8}\right)$.