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The image contains a problem asking for the slopes of different linear equations. The instructions are in Indonesian: "Tentukanlah kemiringan/slope garis di bawah ini," which translates to "Determine the slope of the lines below."

Here are the equations given:

(a) \( y = 2x + 5 \)

(b) \( y = -3x \)

(c) \( 3y + 5x - 10 = 0 \)

(d) \( y - 3x + 2 = 0 \)

(e) \( y = 5 \)

(f) \( x = 4 \)

### Solutions:

1. **Equation (a):** \( y = 2x + 5 \)
   - This is in slope-intercept form \( y = mx + b \), where \( m \) is the slope.
   - **Slope** \( = 2 \).

2. **Equation (b):** \( y = -3x \)
   - This is also in slope-intercept form \( y = mx \), with slope \( m \).
   - **Slope** \( = -3 \).

3. **Equation (c):** \( 3y + 5x - 10 = 0 \)
   - Rewrite in slope-intercept form: \( 3y = -5x + 10 \), then \( y = -\frac{5}{3}x + \frac{10}{3} \).
   - **Slope** \( = -\frac{5}{3} \).

4. **Equation (d):** \( y - 3x + 2 = 0 \)
   - Rewrite: \( y = 3x - 2 \).
   - **Slope** \( = 3 \).

5. **Equation (e):** \( y = 5 \)
   - This is a horizontal line, and the slope of a horizontal line is always \( 0 \).
   - **Slope** \( = 0 \).

6. **Equation (f):** \( x = 4 \)
   - This is a vertical line, and the slope of a vertical line is undefined (or infinity).
   - **Slope** \( = \text{undefined} \).

Let me know if you want further details or explanations!

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Here are five related questions to practice:
1. What is the slope of the line \( y = 4x - 7 \)?
2. How do you calculate the slope from two given points?
3. Find the slope of the line passing through the points \( (2, 3) \) and \( (4, 7) \).
4. If the slope of a line is \( m = \frac{1}{2} \), how do you write its equation?
5. How can you find the equation of a line perpendicular to \( y = -\frac{3}{2}x + 1 \)?

### Tip:
Always remember, for any linear equation of the form \( Ax + By + C = 0 \), you can rewrite it in slope-intercept form \( y = mx + b \) to easily identify the slope \( m \).

Tentukanlah kemiringan/slope garis di bawah ini. (a) y = 2x + 5 (b) y = -3x (c) 3y + 5x -10 = 0 (d) y - 3x + 2 = 0 (e) y = 5 (f) x = 4

Learn how to determine the slope of different linear equations provided in various forms. This problem covers essential algebraic concepts such as the slope-intercept form and is suitable for students in Grades 7-9.

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