Graphing Equations Flashcard

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

How do you convert an equation to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where a is a constant.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is in the form y = b, where b is a constant.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept, use the slope to find another point, and draw the line.