3/8 Slope Intercept from Two Points

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•
Mathematics
•
7th - 9th 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 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 slope of a line represent in a graph?
Back
The slope represents the rate of change of y with respect to x; it indicates how steep the line is.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of a line?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.
5.
FLASHCARD QUESTION
Front
Given two points (2, 3) and (4, 7), what is the slope?
Back
The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.
6.
FLASHCARD QUESTION
Front
How do you write the equation of a line given two points?
Back
First, calculate the slope using the two points, then use the point-slope form y - y1 = m(x - x1) to find the equation.
7.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
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