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 equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation of the line is y = 2x - 3.

Front

How can you determine if a relationship is linear from a table of values?

Back

A relationship is linear if the differences between the y-values are constant for equal differences in the x-values.

Front

What is the meaning of 'rise' in the context of slope?

Back

'Rise' refers to the change in the y-coordinate when moving from one point to another on a line.

Front

What is the meaning of 'run' in the context of slope?

Back

'Run' refers to the change in the x-coordinate when moving from one point to another on a line.

Front

How do 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 a proportional relationship?

Back

A proportional relationship is a specific type of linear relationship that passes through the origin (0,0) and can be expressed as y = kx, where k is a constant.