Ch. 4.3 #1

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Mathematics
•
9th - 12th Grade
•
Hard
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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 y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.
2.
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.
3.
FLASHCARD QUESTION
Front
How do you identify the slope from the equation y - 3 = 2(x + 4)?
Back
In the equation y - 3 = 2(x + 4), the slope is 2.
4.
FLASHCARD QUESTION
Front
What point does the line y - 3 = 2(x + 4) pass through?
Back
The line y - 3 = 2(x + 4) passes through the point (-4, 3).
5.
FLASHCARD QUESTION
Front
What does the variable 'm' represent in the equation of a line?
Back
In the equation of a line, 'm' represents the slope of the line.
6.
FLASHCARD QUESTION
Front
What does the variable 'b' represent in the slope-intercept form of a linear equation?
Back
In the slope-intercept form of a linear equation, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.
7.
FLASHCARD QUESTION
Front
How can you convert from point-slope form to slope-intercept form?
Back
To convert from point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.
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