Graphing a system of equations when you have infinite many solutions

Graphing a system of equations when you have infinite many solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to solve systems of inequalities by graphing. It covers converting equations to slope-intercept form, graphing them, and identifying intersections. The instructor demonstrates solving for Y, graphing using slope and intercept forms, and highlights common mistakes. The tutorial concludes with a realization that two equations are identical, leading to overlapping graphs.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a system of inequalities by graphing?

Convert the equations to slope-intercept form

Convert the equations to standard form

Identify the X-intercept

Find the intersection point

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing a line with a negative slope, which of the following is true?

The slope is negative only if the denominator is negative

The slope is negative only if the numerator is negative

The slope is always positive

The slope can be positive if both numerator and denominator are negative

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the X-intercept when using the intercept method?

Set Y to zero and solve for X

Set X to zero and solve for Y

Use the slope to find the intercept

Find the midpoint of the line

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mistake did the teacher realize when using the intercept method?

The Y-intercept was not found

The slope was calculated incorrectly

The equations were identical

The equations were not in standard form

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the intersection point in a system of inequalities?

It represents the solution to the system

It is where the graph starts

It is the midpoint of the line

It is the highest point on the graph