Question

Given the equation, why equals 4X fill in the missing X value and Y value
(Five, y) y=
(X,10) x=

Answer 1

Choose all of the points that are part of a proportional linear equation
(0,15)
(0,4)
(0,0)

Answer 2

To find the missing values in the equation \( y = 4x \), we can substitute the given values of \( x \) and \( y \).

1. **Finding \( y \) when \( x = 5 \):**
\[
y = 4x = 4(5) = 20
\]
So, when \( x = 5 \), \( y = 20 \). The point is \( (5, 20) \).

2. **Finding \( x \) when \( y = 10 \):**
\[
y = 4x \Rightarrow 10 = 4x
\]
To solve for \( x \):
\[
x = \frac{10}{4} = 2.5
\]
So, when \( y = 10 \), \( x = 2.5 \). The point is \( (2.5, 10) \).

In summary:
- The missing value for \( (5, y) \) is \( (5, 20) \)
- The missing value for \( (x, 10) \) is \( (2.5, 10) \)

Answer 3

A proportional linear equation can be expressed in the form \( y = kx \), where \( k \) is a constant and the line passes through the origin (0, 0). In a proportional relationship, if \( x = 0 \), then \( y \) must also be \( 0 \). Therefore, the only point among the ones listed that would be part of a proportional linear equation is:

- **(0, 0)**

The other points, (0, 15) and (0, 4), indicate that when \( x = 0 \), \( y \) does not equal 0, which is not consistent with a proportional relationship. Hence:

- **(0, 0)** is a point on a proportional linear equation.
- **(0, 15)** and **(0, 4)** are **not**.

**Summary: Only (0, 0) is part of a proportional linear equation.**