Graphing Linear Equations

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is the y-intercept of a line?

Back

Front

How do you find the slope from two points?

Back

Front

What is the standard form of a linear equation?

Back

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means one line has a slope that is the negative reciprocal of the other.

Front

How can you graph a linear equation?

Back

To graph a linear equation, you can find the y-intercept, plot it on the graph, and then use the slope to find another point. Connect the points to form a straight line.

Front

What is the difference between the x-intercept and y-intercept?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), while the y-intercept is where the line crosses the y-axis (x=0).

Front

What is slope-intercept form?

Back