https://file.aiquickdraw.com/mathbot/file/1727794164417rsyw7cl7.jpg

The problem in the image asks to graph the line given by the equation:

\[
y = 3x - 5
\]

To help you plot the graph, we can calculate a few points by substituting different values of \(x\) into the equation to find corresponding values of \(y\). Let's calculate some pairs of \((x, y)\) values.

1. For \(x = 0\):
   \[
   y = 3(0) - 5 = -5
   \]
   So, \((0, -5)\) is one point.

2. For \(x = 2\):
   \[
   y = 3(2) - 5 = 6 - 5 = 1
   \]
   So, \((2, 1)\) is another point.

3. For \(x = -1\):
   \[
   y = 3(-1) - 5 = -3 - 5 = -8
   \]
   So, \((-1, -8)\) is another point.

4. For \(x = 3\):
   \[
   y = 3(3) - 5 = 9 - 5 = 4
   \]
   So, \((3, 4)\) is another point.

Now you can plot these points on the given coordinate plane:
- \((0, -5)\)
- \((2, 1)\)
- \((-1, -8)\)
- \((3, 4)\)

Connect the points with a straight line to form the graph of the equation.

Would you like a further detailed explanation, or do you have any questions?

Here are 5 related questions to deepen your understanding:
1. What is the slope of the line, and how does it affect the graph?
2. How would the graph change if the equation was \(y = 3x + 5\) instead?
3. How can you determine the x-intercept of the line?
4. What is the significance of the y-intercept in the equation \(y = 3x - 5\)?
5. How would you graph the line if given the equation in a different form, such as \(y - 1 = 3(x - 2)\)?

**Tip**: The slope of a line represents how steep the line is, and it is found by calculating the change in \(y\) divided by the change in \(x\).

Gambar grafik dari persamaan garis lurus berikut: y = 3x - 5

Learn how to graph the linear equation y = 3x - 5 by calculating key points and plotting them on a coordinate plane. Understand the slope, intercepts, and line graph formation. Suitable for students in Grades 8-10.

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