Tables to Equations Flashcard

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

How do you determine the equation of a line from a table of values?

Back

To determine the equation, find the slope (change in y over change in x) and the y-intercept from the table values.

Front

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

Back

The equation is y = 2x + 3.

Front

If a table shows the values (1, 6), (2, 8), (3, 10), what is the equation of the line?

Back

The equation is y = 2x + 4.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope means that as x increases, y decreases, indicating a downward trend in the graph.

Front

How can you identify a linear relationship from a table of values?

Back

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

Front

What is the equation for a line that passes through the points (0, 5) and (1, 7)?

Back

The equation is y = 2x + 5.

Front

What is the significance of the equation y = 0.5x?

Back

This equation indicates that for every increase of 1 in x, y increases by 0.5, showing a positive linear relationship.