https://file.aiquickdraw.com/mathbot/file/17273186253008igxezan.jpg

The image contains the following set of exercises in Indonesian:

**Latihan (Exercises):**
1. Tentukan persamaan garis:
   a) melalui titik (5, 185) dan (1, 85)  
   b) gradien -2 dan melalui (2, 2)

2. Gambarkan fungsi soal 1b

3. Tentukan titik potong garis pada soal 1a dan 1b

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Here’s how to approach the problems:

### 1. Find the equation of the line:
#### a) Through points (5, 185) and (1, 85)
We can use the two-point form of a line equation:
\[
y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1)
\]
Where \((x_1, y_1)\) and \((x_2, y_2)\) are the two points.

For points (5, 185) and (1, 85):
\[
\text{slope (m)} = \frac{185 - 85}{5 - 1} = \frac{100}{4} = 25
\]
The equation of the line:
\[
y - 185 = 25(x - 5)
\]
Simplify to get the equation in slope-intercept form (\(y = mx + c\)).

#### b) Gradient \(m = -2\) and through (2, 2)
We can use the point-slope form again:
\[
y - y_1 = m(x - x_1)
\]
For gradient \(-2\) and point (2, 2):
\[
y - 2 = -2(x - 2)
\]
Simplify to get the equation in slope-intercept form.

### 2. Graph the function from 1b
This involves plotting the line equation derived in 1b.

### 3. Find the intersection of the lines from 1a and 1b
To find the intersection, solve the system of equations formed by the two line equations from 1a and 1b.

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Would you like me to solve the equations explicitly for you? If yes, please specify which parts you'd like detailed. 

### Related questions:
1. How do you find the slope of a line between two points?
2. What is the difference between slope-intercept form and point-slope form?
3. How do you graph a linear equation?
4. What does it mean when two lines intersect at a point?
5. How can we find the y-intercept of a line?

**Tip:** The slope is key in determining whether two lines are parallel, perpendicular, or intersecting.

Tentukan persamaan garis:
 a) melalui titik (5, 185) dan (1, 85)
 b) gradien -2 dan melalui (2, 2)
 Gambarkan fungsi soal 1b
 Tentukan titik potong garis pada soal 1a dan 1b

Solve linear equations by finding the equation of lines through two points (5, 185) and (1, 85) and using a slope of -2 through (2, 2). Learn how to graph the equations and find intersection points. Suitable for Grades 8-10.

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