Fill in the blanks
(a) The equation of a line with slope 1/2 and making an intercept 5 on y-axis is _________.

Answer

To find the equation of a line with a given slope and y-intercept, we can use the slope-intercept form of a linear equation, which is given by:

\[ y = mx + c \]

where:
- \( m \) is the slope of the line,
- \( c \) is the y-intercept.

### Step-by-Step Solution:

1. **Identify the slope and y-intercept**:
- The slope \( m \) is given as \( \frac{1}{2} \).
- The y-intercept \( c \) is given as \( 5 \).

2. **Substitute the values into the equation**:
- We substitute \( m \) and \( c \) into the slope-intercept form:
\[ y = \frac{1}{2}x + 5 \]

3. **Write the final equation**:
- Therefore, the equation of the line is:
\[ y = \frac{1}{2}x + 5 \]

### Final Answer:
The equation of a line with slope \( \frac{1}{2} \) and making an intercept \( 5 \) on the y-axis is:
\[ y = \frac{1}{2}x + 5 \]