Review: Graphing Linear Equations using Table of Values

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?

Back

Front

How do you determine if a table of values represents a linear relationship?

Back

A table of values represents a linear relationship if the differences between the y-values are constant for equal differences in the x-values.

Front

What is the solution to a linear equation?

Back

The solution to a linear equation is the value of x (or y) that makes the equation true. It can be represented as a point (x, y) on the graph.

Front

How do you graph a linear equation using a table of values?

Back

To graph a linear equation using a table of values, calculate several pairs of (x, y) values, plot them on a coordinate plane, and draw a straight line through the points.

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, meaning they intersect at a right angle.

Front

How can you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.