
Equation of a straight line

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you calculate the slope (m) between two points (x_1, y_1) and (x_2, y_2)?
Back
The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).
3.
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 the formula: y = mx + b, where m is the slope and b is the y-intercept.
4.
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 y when x = 0.
5.
FLASHCARD QUESTION
Front
How do you convert from point-slope form to slope-intercept form?
Back
To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.
6.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is given by the formula: Ax + By = C, where A, B, and C are integers.
7.
FLASHCARD QUESTION
Front
How do you find the equation of a line given two points?
Back
1. Calculate the slope (m) using the two points. 2. Use one point and the slope to write the equation in point-slope form. 3. Convert to slope-intercept or standard form if needed.
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