7.4A & 7.7A Constant Rate of Change & Linear Relationships

7.4A & 7.7A Constant Rate of Change & Linear Relationships

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Mathematics

7th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

2.

FLASHCARD QUESTION

Front

Define 'constant rate of change'.

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity, often represented as the slope in a linear relationship.

3.

FLASHCARD QUESTION

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

4.

FLASHCARD QUESTION

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

5.

FLASHCARD QUESTION

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, represented by the 'b' in the slope-intercept form y = mx + b.

6.

FLASHCARD QUESTION

Front

Write the equation of a line with a slope of 3 and a y-intercept of 2 in slope-intercept form.

Back

The equation is y = 3x + 2.

7.

FLASHCARD QUESTION

Front

What is the constant rate of change if a line passes through the points (1, 4) and (3, 10)?

Back

The constant rate of change (slope) is 3, calculated as (10 - 4) / (3 - 1).

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