Topic 5 Review
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula for calculating the slope of a line between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula: m = \frac{y2 - y1}{x2 - x1}.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a graph?
Back
The slope represents the steepness of the line and the direction of the relationship between the variables.
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a line given its equation in slope-intercept form (y = mx + b)?
Back
The y-intercept is the value of y when x = 0, which is represented by the constant b in the equation.
4.
FLASHCARD QUESTION
Front
What is the slope of the line that passes through the points (2, 3) and (4, 7)?
Back
The slope is m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2.
5.
FLASHCARD QUESTION
Front
If a line has a slope of -3, what does this indicate about the line's direction?
Back
A slope of -3 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 3 units.
6.
FLASHCARD QUESTION
Front
What is the equation of a line with a slope of 2 that passes through the point (1, 4)?
Back
Using the point-slope form, the equation is y - 4 = 2(x - 1), which simplifies to y = 2x + 2.
7.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a real-world context?
Back
The y-intercept represents the initial value of the dependent variable when the independent variable is zero.
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