Questions: Determine the slope and the y-intercept of the line. y=1/2 x-4 Express numbers as integers or simplified fractions. Part 1 of 2 The slope is 1/2

Solution Steps

To determine the slope and the y-intercept of the line given by the equation \( y = \frac{1}{2}x - 4 \):

1. Identify the slope (m) and the y-intercept (b) from the equation in the form \( y = mx + b \).
2. The slope (m) is the coefficient of \( x \).
3. The y-intercept (b) is the constant term.

• The slope (m) is \(\frac{1}{2}\).
• The y-intercept (b) is \(-4\).

The given equation of the line is: \[ y = \frac{1}{2}x - 4 \]

In the slope-intercept form \( y = mx + b \), the coefficient of \( x \) is the slope \( m \).

The constant term in the equation is the y-intercept \( b \).

Final Answer