Write the Equation of a Line Using Two Given Points

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•
Mathematics
•
9th - 11th Grade
•
Easy
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1.
FLASHCARD QUESTION
Front
What is the formula to find the slope (m) of a line given two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
2.
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.
3.
FLASHCARD QUESTION
Front
How do you convert the point-slope form to slope-intercept form?
Back
To convert to slope-intercept form (y = mx + b), solve for y in the point-slope equation.
4.
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.
5.
FLASHCARD QUESTION
Front
If a line has a slope of 2 and passes through the point (3, 4), what is the equation of the line in slope-intercept form?
Back
The equation is y = 2x - 2.
6.
FLASHCARD QUESTION
Front
What does it mean if the slope of a line is negative?
Back
A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.
7.
FLASHCARD QUESTION
Front
What does it mean if the slope of a line is zero?
Back
A slope of zero indicates a horizontal line, meaning y remains constant regardless of x.
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