Question

Determine the equation for the given line in
slope-intercept form.

y = –Three-fifthsx – 1
y = Three-fifthsx + 1
y = Three-fifthsx + 1
y = –Three-fifthsx – 1

Answer 1

The given line equation is already in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

To identify the correct equation from the options given, let's analyze them based on the format:

1. **y = –Three-fifthsx – 1** (slope \( m = -\frac{3}{5} \), intercept \( b = -1 \))
2. **y = Three-fifthsx + 1** (slope \( m = \frac{3}{5} \), intercept \( b = 1 \))
3. **y = Three-fifthsx + 1** (slope \( m = \frac{3}{5} \), intercept \( b = 1 \)) — This is identical to option 2.
4. **y = –Three-fifthsx – 1** (slope \( m = -\frac{3}{5} \), intercept \( b = -1 \)) — This is identical to option 1.

Now, since options 1 & 4 are the same and options 2 & 3 are the same, we can conclude:

- If you need a line with a negative slope and a negative intercept, use **y = –Three-fifthsx – 1**.
- If you need a line with a positive slope and a positive intercept, use **y = Three-fifthsx + 1**.

Thus, the equation in slope-intercept form is clearly given as **y = –Three-fifthsx – 1** or **y = Three-fifthsx + 1**, depending on the line you are referring to.