Determine the slope and y- intercept of the following lines:
`y=sqrt(3)x-7`

Answer

To determine the slope and y-intercept of the line given by the equation \( y = \sqrt{3}x - 7 \), we can follow these steps:

### Step 1: Identify the standard form of the line
The equation of the line is given in the slope-intercept form, which is:
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.

### Step 2: Compare the given equation with the standard form
The given equation is:
\[ y = \sqrt{3}x - 7 \]
Here, we can see that:
- The coefficient of \( x \) (which is \( \sqrt{3} \)) represents the slope \( m \).
- The constant term (which is \( -7 \)) represents the y-intercept \( b \).

### Step 3: Extract the slope and y-intercept
From the comparison, we can conclude:
- Slope \( m = \sqrt{3} \)
- Y-intercept \( b = -7 \)

### Final Result
Thus, the slope of the line is \( \sqrt{3} \) and the y-intercept is \( -7 \).

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