What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?
Equations from two points

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
2.
FLASHCARD QUESTION
Front
Given the points (2, 3) and (4, 7), what is the slope of the line passing through these points?
Back
The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.
3.
FLASHCARD QUESTION
Front
What is the Slope-Intercept Form of a linear equation?
Back
The Slope-Intercept Form is given by: y = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
If the slope of a line is -3 and it passes through the point (1, 2), what is the equation of the line in Slope-Intercept Form?
Back
Using the point-slope form: y - 2 = -3(x - 1) simplifies to y = -3x + 5.
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.
6.
FLASHCARD QUESTION
Front
How do you convert the standard form of a linear equation Ax + By = C to Slope-Intercept Form?
Back
Rearrange the equation to solve for y: y = (-A/B)x + (C/B).
7.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined.
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