Point-Slope and Standard Form Flashcard Review

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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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 the formula y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you convert an equation from standard form to slope-intercept form?
Back
To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.
3.
FLASHCARD QUESTION
Front
What is point-slope form of a linear equation?
Back
The point-slope form of a linear equation is given by the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
4.
FLASHCARD QUESTION
Front
How do you find the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) between two points is calculated using the formula m = (y2 - y1) / (x2 - x1).
5.
FLASHCARD QUESTION
Front
What is the zero of a function?
Back
The zero of a function is the value of x that makes the function equal to zero (f(x) = 0).
6.
FLASHCARD QUESTION
Front
How do you determine if a point lies on a line given by an equation?
Back
To determine if a point (x, y) lies on a line given by an equation, substitute the x-value into the equation and check if the resulting y-value matches the y-value of the point.
7.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is and the direction it goes (positive or negative).
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