linear relationships

What does 'm' signify in the equation y=mx+b?

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

What does 'b' symbolize in the equation y=mx+b?

'b' represents the y-intercept, which is the value of y when x equals zero.

How can you identify if a relationship is linear using y=mx+b?

If the graph of the relationship is a straight line, then it is a linear relationship and can be expressed in the form y=mx+b.

What are natural numbers?

Natural numbers are the set of positive integers starting from 1, typically used for counting (1, 2, 3, …).

What are whole numbers?

Whole numbers include all natural numbers and the number 0 (0, 1, 2, 3, …).

What are integers?

Integers encompass all whole numbers and their negative counterparts (…, -3, -2, -1, 0, 1, 2, 3, …).

What are rational numbers?

Rational numbers are numbers that can be expressed as a fraction or quotient of two integers, where the denominator is not zero. This includes integers, whole numbers, and natural numbers.

How are natural numbers related to whole numbers?

Natural numbers are a subset of whole numbers; every natural number is a whole number, but not all whole numbers are natural numbers since whole numbers include 0.

How are whole numbers related to integers?

Whole numbers are a subset of integers; all whole numbers are integers, but integers also include negative integers.

How are integers related to rational numbers?

Integers are a subset of rational numbers since every integer can be expressed as a fraction (e.g., 5 can be expressed as 5/1).