on the grid draw the graph of y=3x-4 and the values of x from -2 to 2

To graph the equation \( y = 3x - 4 \) for values of \( x \) from -2 to 2, we need to first calculate the corresponding \( y \)-values for each \( x \)-value.

### Step-by-step calculation of points:
For \( x = -2 \):
\[
y = 3(-2) - 4 = -6 - 4 = -10
\]

For \( x = -1 \):
\[
y = 3(-1) - 4 = -3 - 4 = -7
\]

For \( x = 0 \):
\[
y = 3(0) - 4 = -4
\]

For \( x = 1 \):
\[
y = 3(1) - 4 = 3 - 4 = -1
\]

For \( x = 2 \):
\[
y = 3(2) - 4 = 6 - 4 = 2
\]

### Points to plot:
- \( (-2, -10) \)
- \( (-1, -7) \)
- \( (0, -4) \)
- \( (1, -1) \)
- \( (2, 2) \)

These points form a straight line because the equation is linear. You can plot these points on a grid and draw a line through them to complete the graph.

Would you like me to generate the graph for you? Let me know if you have any questions or want further details!

### Related questions:
1. How would the graph change if the slope was steeper, say \( y = 5x - 4 \)?
2. What would happen to the graph if the constant term changes, e.g., \( y = 3x - 6 \)?
3. Can you explain why the line is straight for linear equations?
4. What is the meaning of the slope 3 in \( y = 3x - 4 \)?
5. How would you find the x-intercept of this line?

### Tip:
When graphing linear equations, always calculate several points by substituting values of \( x \), and remember, the slope determines how steep the line is!

On the grid draw the graph of y=3x-4 and the values of x from -2 to 2

Learn how to graph the linear equation y=3x-4 using values of x from -2 to 2. Follow a step-by-step guide to calculate points and plot them on the grid. This tutorial covers key algebra concepts like slope and y-intercept, suitable for students in Grades 6-8.

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