Lesson 4.2 Homework
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Point-Slope form of a linear equation?
Back
The Point-Slope form is given by the equation: 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 convert a Point-Slope equation 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.
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 point (4, -7) and slope -1/4, write the equation in Point-Slope form.
Back
y + 7 = -1/4(x - 4)
5.
FLASHCARD QUESTION
Front
Given the point (10, 5) and slope -3, write the equation in Point-Slope form.
Back
y - 5 = -3(x - 10)
6.
FLASHCARD QUESTION
Front
What is the slope of a line that passes through the points (2, 1) and (3, 3)?
Back
The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) = (3 - 1) / (3 - 2) = 2.
7.
FLASHCARD QUESTION
Front
How do you find the y-intercept from the Slope-Intercept form?
Back
In the Slope-Intercept form y = mx + b, the y-intercept is the value of b.
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