What is the slope-intercept form of a linear equation?
7.4A & 7.7A Constant Rate of Change & Linear Relationships

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Mathematics
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7th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
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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