Question

y + 3x = 5

Answer 1

The equation \( y + 3x = 5 \) can be rewritten in several ways depending on what you're looking to do with it. Here are a few forms:

1. **Slope-intercept form (y = mx + b)**:
To express the equation in slope-intercept form (where \( y \) is isolated on one side), you can rearrange it:
\[
y = -3x + 5
\]
In this form, the slope \( m \) is -3 and the y-intercept \( b \) is 5.

2. **Standard form (Ax + By = C)**:
The equation is already in standard form \( y + 3x = 5 \) or can also be written as:
\[
3x + y = 5
\]
where \( A = 3 \), \( B = 1 \), and \( C = 5 \).

3. **Finding intercepts**:
- **Y-intercept**: Set \( x = 0 \):
\[
y + 3(0) = 5 \implies y = 5
\]
So the y-intercept is \( (0, 5) \).
- **X-intercept**: Set \( y = 0 \):
\[
0 + 3x = 5 \implies x = \frac{5}{3}
\]
So the x-intercept is \( \left(\frac{5}{3}, 0\right) \).

If you need further analysis or a specific operation related to this equation, please let me know!