Graphing Linear Inequalities (standard form & y=mx+b)

Graphing Linear Inequalities (standard form & y=mx+b)

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

2.

FLASHCARD QUESTION

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

3.

FLASHCARD QUESTION

Front

What does the slope-intercept form of a linear equation represent?

Back

The slope-intercept form, y = mx + b, represents a line where m is the slope and b is the y-intercept.

4.

FLASHCARD QUESTION

Front

What is the meaning of the inequality symbol '≥'?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

5.

FLASHCARD QUESTION

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line. Use a solid line for '≥' or '≤' and a dashed line for '>' or '<'. Then shade the appropriate region based on the inequality.

6.

FLASHCARD QUESTION

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, indicating the value of x when y = 0.

7.

FLASHCARD QUESTION

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

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