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

Question

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

Through which points does the above function pass?

00:00 Find through which points the function passes

00:03 In each point, the left number represents the X-axis and the right represents Y

00:06 Let's substitute each point in the line equation and see if it's possible

00:11 Not possible, therefore the point is not on the line

00:15 We'll use the same method and find which points lie on the line

00:18 Let's move to the second point, substitute in the line equation

00:31 Not possible, therefore the point is not on the line

00:35 Let's move to the third point, substitute in the line equation

00:52 Possible, therefore the point is on the line

00:55 Let's move to the fourth point, substitute in the line equation

01:09 Not possible, therefore the point is not on the line

01:12 And this is the solution to the question

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

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

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

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

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

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

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

$(\frac{1}{2},\frac{35}{8})$