TEKS 7.7(A) Represent Linear Relationships

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It shows that as one variable changes, the other variable changes at a constant rate.

Front

What is the slope of a line?

Back

The slope of a line is a measure of how steep the line is. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis. In the equation of a line in slope-intercept form (y = mx + b), 'b' represents the y-intercept.

Front

What does the term 'slope-intercept form' mean?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the difference between positive and negative slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant. A negative slope means that as x increases, y decreases, resulting in a downward slant.

Front

What is a table of values in relation to linear relationships?

Back

A table of values lists pairs of x and y coordinates that satisfy a linear equation, showing how the two variables are related.

Front

How can you graph a linear equation?

Back

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

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis. It represents the value of x when y is zero.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they 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.