Math Problem Statement

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

Solution

To find two points from the equation y=2x+1y = 2x + 1, you need to choose two different values for xx and then calculate the corresponding yy values using the equation. Since you already know one point is (0,1)(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 xx:

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

Now we have two points:

  1. (0,1)(0, 1)
  2. (1,3)(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 xx values and substitute them into the equation to get the corresponding yy values.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9