What is the slope between two points (x1, y1) and (x2, y2)?

The slope is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What is the equation of a line that passes through the points (-4, 2) and (8, 5)?

The equation is $$y=0.25x+3$$ .

What does it mean for a line to have a slope of 0?

A slope of 0 means the line is horizontal.

How do you convert the equation $$-3x+5y=-15$$ to slope-intercept form?

Rearranging gives $$y=\frac{3}{5}x-3$$ .

What is the ordered pair for the y-intercept of a function?

The ordered pair for the y-intercept is (0, b), where b is the y-intercept value.

What is the area covered by the fence if the width is 30 meters in the equation $$A(w)=100w-w^2$$ ?

The area covered is 2100 square meters.

What is the significance of the coefficients in the equation of a line?

The coefficients determine the slope and y-intercept of the line.

Fall 2024 Semester Exam Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the equation of a horizontal line that passes through the point (6, −8)?

Back

2.

FLASHCARD QUESTION

Front

What is the general form of a linear equation?

Back

3.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a linear equation?

Back

4.

FLASHCARD QUESTION

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

How do you calculate the area of a rectangle?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the area of a rectangle given a perimeter of 200 meters?

Back

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