How do you convert a linear equation from standard form to slope-intercept form?

To convert from standard form $$Ax + By = C$$ to slope-intercept form, solve for $$y$$ : $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

What is the relationship between the coefficients in the equation $$y = mx + b$$ ?

The coefficient $$m$$ represents the slope of the line, while $$b$$ represents the y-intercept.

How do you find the equation of a line given two points?

First, calculate the slope using the two points, then use one of the points and the slope to write the equation in point-slope form.

What does it mean if a line is vertical?

A vertical line has an undefined slope and can be represented by the equation $$x = a$$ , where $$a$$ is the x-coordinate of any point on the line.

What does it mean if a line is horizontal?

A horizontal line has a slope of 0 and can be represented by the equation $$y = b$$ , where $$b$$ is the y-coordinate of any point on the line.

How do you interpret the equation $$y = 0.75x + 7$$ in a real-world context?

This equation represents a situation where for every unit increase in $$x$$ , $$y$$ increases by 0.75, starting from a base value of 7.

What is the significance of the constant term in a linear equation?

The constant term (y-intercept) indicates the starting value of $$y$$ when $$x = 0$$ .

How do you graph a linear equation?

To graph a linear equation, identify the y-intercept, plot it on the graph, then use the slope to find another point and draw the line through both points.

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

FLASHCARD QUESTION

Front

How do you determine the slope of a line from two points?

Back

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

What does the y-intercept represent in a linear equation?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

4.

FLASHCARD QUESTION

Front

What is the meaning of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship between the two variables.

Tags

CCSS.8.EE.B.5

5.

FLASHCARD QUESTION

Front

What is the meaning of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship between the two variables.

Tags

CCSS.8.EE.B.5

6.

FLASHCARD QUESTION

Front

How do you write an equation for a line given a slope and a point?

Back

7.

FLASHCARD QUESTION

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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