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?

00:06 Let's find out which points the function passes through.

00:10 At each point, the left number is X, and the right number is Y.

00:15 Let's plug each point into the line equation to see if it works.

00:21 It doesn't work, so this point is not on the line.

00:25 We'll do the same for other points to see which ones lie on the line.

00:30 Now, let's check the second point by substituting it into the line equation.

00:37 This one doesn't work either, so it's not on the line.

00:41 Let's try the third point now and substitute it into the line equation.

00:58 It works! So, this point is on the line.

01:02 Finally, let's check the fourth point by substituting it into the line equation.

01:15 This point doesn't work, so it's not on the line.

01:19 And that's how we determine which points are on the line.

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

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