What is the point-slope form of a linear equation?

Point Slope form to Slope Intercept Form

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•
Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you convert point-slope form to slope-intercept form?
Back
To convert, solve for y: y - y1 = m(x - x1) becomes y = mx + (y1 - mx1).
3.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
Given the equation y - 2 = -4(x - 3), what is the slope?
Back
The slope is -4.
5.
FLASHCARD QUESTION
Front
Given the equation y - 2 = -4(x - 3), what is the y-intercept?
Back
The y-intercept is 14.
6.
FLASHCARD QUESTION
Front
Convert the equation y + 9 = 3(x - 1) to slope-intercept form.
Back
y = 3x - 12.
7.
FLASHCARD QUESTION
Front
What is the point used in the equation y + 6 = 10(x - 9)?
Back
The point is (9, -6).
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