Theequationoflinesis Y = –9 8 X + 8 7 . Line Tisparalleltoline S . What Istheslopeofline T ? Simplify Your Answer And Write It As A Proper Fraction, Improper Fraction, Or Integer.

Introduction

In mathematics, the equation of a line is a fundamental concept that is used to describe the relationship between two variables. The equation of a line can be written in various forms, including the slope-intercept form, which is the most commonly used form. In this article, we will explore the equation of lines, specifically the equation of line t, and determine the slope of line t.

The Equation of Line t

The equation of line t is given as y = –98x + 87. This equation represents a linear relationship between the variables x and y. The equation is in the slope-intercept form, where the slope is represented by the coefficient of x, and the y-intercept is represented by the constant term.

Understanding Parallel Lines

Parallel lines are lines that lie in the same plane and never intersect. In other words, parallel lines are lines that have the same slope but different y-intercepts. When two lines are parallel, their slopes are equal, but their y-intercepts are different.

The Slope of Line t

To determine the slope of line t, we need to identify the coefficient of x in the equation of line t. In the equation y = –98x + 87, the coefficient of x is –98. Therefore, the slope of line t is –98.

Simplifying the Slope

The slope of line t is a negative integer, which can be written as a fraction or an integer. To simplify the slope, we can write it as a fraction with a negative sign. The slope of line t can be written as –98/1, which is a proper fraction.

Improper Fraction

An improper fraction is a fraction where the numerator is greater than the denominator. In the case of the slope of line t, we can write it as an improper fraction by dividing the numerator by the denominator. The slope of line t can be written as –98/1 = –98.

Integer

An integer is a whole number, either positive, negative, or zero. In the case of the slope of line t, we can write it as an integer by removing the fraction. The slope of line t can be written as –98, which is a negative integer.

Conclusion

In conclusion, the equation of line t is y = –98x + 87. The slope of line t is –98, which can be written as a proper fraction, an improper fraction, or an integer. Understanding the equation of lines and the concept of parallel lines is essential in mathematics, and this article has provided a clear explanation of the slope of line t.

Frequently Asked Questions

• What is the equation of line t? The equation of line t is y = –98x + 87.
• What is the slope of line t? The slope of line t is –98.
• Can the slope of line t be written as a fraction? Yes, the slope of line t can be written as a proper fraction, –98/1.
• Can the slope of line t be written as an integer? Yes, the slope of line t can be written as an integer, –98.

Final Thoughts

In this article, we have explored the equation of lines, specifically the equation of line t, and determined the slope of line t. The equation of line t is y = –98x + 87, and the slope of line t is –98. Understanding the equation of lines and the concept of parallel lines is essential in mathematics, and this article has provided a clear explanation of the slope of line t.

Introduction

In our previous article, we explored the equation of lines, specifically the equation of line t, and determined the slope of line t. In this article, we will provide a Q&A section to answer some of the most frequently asked questions about the equation of lines and the concept of parallel lines.

Q&A

Q: What is the equation of line t?

A: The equation of line t is y = –98x + 87.

Q: What is the slope of line t?

A: The slope of line t is –98.

Q: Can the slope of line t be written as a fraction?

A: Yes, the slope of line t can be written as a proper fraction, –98/1.

Q: Can the slope of line t be written as an integer?

A: Yes, the slope of line t can be written as an integer, –98.

Q: What is the difference between the slope of line t and the slope of line s?

A: The slope of line s is not provided in the problem, but we can assume that it is a different value. The difference between the slope of line t and the slope of line s is the difference between their respective values.

Q: How do I determine if two lines are parallel?

A: To determine if two lines are parallel, you need to compare their slopes. If the slopes are equal, then the lines are parallel.

Q: What is the relationship between the slope of a line and its equation?

A: The slope of a line is represented by the coefficient of x in its equation. In the equation y = mx + b, m is the slope of the line.

Q: Can a line have a slope of 0?

A: Yes, a line can have a slope of 0. This means that the line is horizontal and does not have any inclination.

Q: Can a line have a slope of infinity?

A: No, a line cannot have a slope of infinity. However, a line can have a very large slope, which can be represented as a very large fraction.

Q: How do I graph a line with a given equation?

A: To graph a line with a given equation, you need to identify the slope and the y-intercept. Then, you can use a graphing tool or plot points on a coordinate plane to visualize the line.

Q: What is the significance of the slope of a line in real-world applications?

A: The slope of a line is significant in many real-world applications, such as physics, engineering, and economics. It is used to describe the rate of change of a quantity with respect to another quantity.

Conclusion

In conclusion, the equation of lines and the concept of parallel lines are fundamental concepts in mathematics. This Q&A article has provided answers to some of the most frequently asked questions about the equation of lines and the concept of parallel lines. We hope that this article has been helpful in clarifying any doubts you may have had about these concepts.

Frequently Asked Questions (FAQs)

• What is the equation of line t?
• What is the slope of line t?
• Can the slope of line t be written as a fraction?
• Can the slope of line t be written as an integer?
• How do I determine if two lines are parallel?
• What is the relationship between the slope of a line and its equation?
• Can a line have a slope of 0?
• Can a line have a slope of infinity?
• How do I graph a line with a given equation?
• What is the significance of the slope of a line in real-world applications?

Final Thoughts

In this article, we have provided a Q&A section to answer some of the most frequently asked questions about the equation of lines and the concept of parallel lines. We hope that this article has been helpful in clarifying any doubts you may have had about these concepts. If you have any further questions, please feel free to ask.