Identify the slope and y-intercept of the equation $$y = 3x + 5$$ .

The slope $$m = 3$$ and the y-intercept $$b = 5$$ .

If Janelle has $20 and saves $6 per week, what equation models her savings?

The equation is $$y = 6x + 20$$ , where $$y$$ is her total savings after $$x$$ weeks.

What is the formula to convert a point-slope equation to slope-intercept form?

To convert from point-slope form $$y - y_1 = m(x - x_1)$$ to slope-intercept form, solve for $$y$$ to get $$y = mx + (y_1 - mx_1)$$ .

What does a negative slope indicate about a line?

A negative slope indicates that as $$x$$ increases, $$y$$ decreases, meaning the line falls from left to right.

What is the significance of the slope in real-world contexts?

In real-world contexts, the slope can represent rates of change, such as speed, growth, or decline.

How can you determine if two lines are parallel using their slopes?

Two lines are parallel if they have the same slope, meaning their slopes are equal.

What is the relationship between the slope and the steepness of a line?

The greater the absolute value of the slope, the steeper the line. A slope of 0 indicates a horizontal line.

How do you graph a linear equation in slope-intercept form?

To graph a linear equation in slope-intercept form, start at the y-intercept $$b$$ on the y-axis, then use the slope $$m$$ to find another point.

Writing Equations & Graphing Flashcards

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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

2.

FLASHCARD QUESTION

Front

How do you find the slope between two points?

Back

3.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

4.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

5.

FLASHCARD QUESTION

Front

Write the slope-intercept form of the equation of the line through the points (0, 1) and (-3, -1).

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

If Sam weighs 205 pounds and gains 2 pounds per week, what equation models his weight?

Back

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