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

The slope-intercept form of a linear equation is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

How do you determine the coordinates of a point on a line given its equation?

To determine the coordinates of a point on a line given its equation, substitute a value for $$x$$ into the equation and solve for $$y$$ .

What is the significance of the y-intercept in a graph?

The y-intercept is significant because it indicates the value of $$y$$ when $$x = 0$$ , showing where the line crosses the y-axis.

How can you identify the slope from a graph?

The slope can be identified from a graph by selecting two points on the line and calculating the rise over run (change in y over change in x).

What is the relationship between parallel lines and their slopes?

Parallel lines have the same slope, meaning they rise and run at the same rate but never intersect.

What is the relationship between perpendicular lines and their slopes?

Perpendicular lines have slopes that are negative reciprocals of each other. If one slope is $$m$$ , the other is $$-\frac{1}{m}$$ .

How do you graph a linear equation?

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

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

The point-slope form of a linear equation is $$y - y_1 = m(x - x_1)$$ , where $$(x_1, y_1)$$ is a point on the line and $$m$$ is the slope.

DCP Brain Dump Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

2.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is.

3.

FLASHCARD QUESTION

Front

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

Back

4.

FLASHCARD QUESTION

Front

What is the x-intercept of a graph?

Back

5.

FLASHCARD QUESTION

Front

How do you calculate the rate of change between two points?

Back

6.

FLASHCARD QUESTION

Front

What does it mean if a linear equation has no solutions?

Back

A linear equation has no solutions if the lines represented by the equations are parallel and never intersect.

7.

FLASHCARD QUESTION

Front

What does it mean if a linear equation has infinitely many solutions?

Back

A linear equation has infinitely many solutions if the lines represented by the equations are the same line, meaning they overlap completely.

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