Write the Equation of the Line: Given two points

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•
Mathematics
•
9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in the equation of a line?
Back
The y-intercept (b) represents the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
Given two points (x1, y1) and (x2, y2), how can you find the equation of the line?
Back
First, calculate the slope (m) using m = (y2 - y1) / (x2 - x1). Then, use one of the points to solve for b in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the equation of a line that has a slope of 1 and passes through the point (0, 0)?
Back
The equation is y = 1x + 0, or simply y = x.
6.
FLASHCARD QUESTION
Front
If a line has a slope of -2 and a y-intercept of 3, what is its equation?
Back
The equation is y = -2x + 3.
7.
FLASHCARD QUESTION
Front
What is the significance of a slope of 0 in a linear equation?
Back
A slope of 0 indicates a horizontal line, which means the y-value remains constant regardless of the x-value.
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