How to find two points from y=2x+1, I know one point is (0,1) because 1 is y intercept

To find two points from the equation \( y = 2x + 1 \), you need to choose two different values for \( x \) and then calculate the corresponding \( y \) values using the equation. Since you already know one point is \((0, 1)\) because 1 is the y-intercept, we just need to find another point.

Let's find the second point by choosing a different value for \( x \):

1. Choose \( x = 1 \):
   \[
   y = 2(1) + 1 = 2 + 1 = 3
   \]
   So, the point is \((1, 3)\).

Now we have two points:
1. \((0, 1)\)
2. \((1, 3)\)

Would you like more details or have any questions?

Here are 5 questions you might want to ask:
1. How do you find the slope of a line from two points?
2. How do you graph a linear equation?
3. What is the significance of the y-intercept in a linear equation?
4. How do you find the x-intercept of a linear equation?
5. Can you explain how to determine if two lines are parallel?

**Tip:** To find more points on a line, simply select different \( x \) values and substitute them into the equation to get the corresponding \( y \) values.

Learn how to find points on the line y = 2x + 1 using the y-intercept method and selecting different x values. This problem explores linear equations and graphing concepts, suitable for Grades 7-9.

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