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

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

Back

Front

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

Back

Front

What is the standard form of a linear equation?

Back

Front

How do you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation, plot them on a coordinate plane, and draw a straight line through the points.

Front

What is the x-intercept of a linear equation?

Back

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts. They 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. This means one line has a slope that is the negative reciprocal of the other.

Front

How do you determine if a point lies on a line?

Back

To determine if a point (x, y) lies on a line represented by an equation, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the point.