Question

Find any possible values for x and y if the point (x,y) lies on the line y=3x+7

Answer 1

The equation of the line is given by \( y = 3x + 7 \). This represents a linear equation where the value of \( y \) depends on the value of \( x \).

To find possible values for \( (x, y) \), you can choose any value for \( x \) and then compute the corresponding \( y \) using the equation. Here are a few examples:

1. If \( x = 0 \):
\[
y = 3(0) + 7 = 7
\]
So, the point is \( (0, 7) \).

2. If \( x = 1 \):
\[
y = 3(1) + 7 = 3 + 7 = 10
\]
So, the point is \( (1, 10) \).

3. If \( x = -1 \):
\[
y = 3(-1) + 7 = -3 + 7 = 4
\]
So, the point is \( (-1, 4) \).

4. If \( x = 2 \):
\[
y = 3(2) + 7 = 6 + 7 = 13
\]
So, the point is \( (2, 13) \).

In fact, you can choose any real number for \( x \), and you will get a corresponding value for \( y \). The general set of points \( (x, y) \) that lie on the line can be expressed as:
\[
y = 3x + 7
\]
for any \( x \in \mathbb{R} \).