Question

Please help, worth 40 points!!!

1. What would the graph of an equation look like on a number line? (Use an example)

Answer 1

A number line is a visual representation of numbers on a straight line.

Explanation:

On a number line, we typically represent a graph as a set of points that satisfy the equation. In this context, we will consider linear equations as an example. A linear equation in one variable (usually denoted as "x") can be represented as:

• y = mx + b

Where:

• y is the value on the y-axis,
• x is the value on the x-axis,
• m is the slope of the line, and
• b is the y-intercept (the value of y when x = 0).

Let's take an example of a linear equation:

• y = 2x + 1

To graph this equation on a number line, we'll represent the equation as a straight line.

Find the y-intercept (b):

• When x = 0,
  y = 2(0) + 1 = 1.

So, the y-intercept(b) is 1. Point will be A(0,1)

Find another point on the line:

Choose any value for x, and then calculate the corresponding value of y. For example, let's use x = 2:

y = 2(2) + 1 = 5.

So, another point on the line is B(2, 5).

Plot the points:

Plot the two points we found on the number line:

• The y-intercept: (0, 1)
• Another point: (2, 5)

To see the graph. see attachment.

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