How to solve a system by graphing with a horizontal line

How to solve a system by graphing with a horizontal line

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial demonstrates how to solve a system of equations by graphing. It begins with setting up the X and Y axes and using a table method to graph the equation Y = -1, resulting in a horizontal line. The tutorial then explains graphing using the slope-intercept form for another equation, identifying the intersection point of the two lines as the solution. The solution is consistent and independent, as the lines intersect at a single point.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main challenge students face when graphing Y = -1?

Graphing with only one variable

Finding the Y-intercept

Choosing the correct X values

Understanding the slope

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the slope-intercept form Y = MX + B, what does 'B' represent?

The slope of the line

The point of intersection

The Y-intercept

The X-intercept

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the slope from the equation Y = -3X + 5?

By calculating the rise over run

By finding the constant term

By looking at the coefficient of X

By identifying the Y-intercept

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if two graphs intersect at a single point?

The system has no solution

The system has infinitely many solutions

The system is consistent and independent

The system is inconsistent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations if the graphs intersect at (2, -1)?

The solution is (1, 2)

The solution is (2, -1)

The solution is (-1, 2)

The solution is (0, 0)