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!

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 $m$.