Tables to 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 (upward or downward).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you find the slope from a table of values?

Back

Front

What is the relationship between x-values and y-values in a linear equation?

Back

In a linear equation, the relationship between x-values and y-values is consistent; for every change in x, there is a proportional change in y, defined by the slope.

Front

What does it mean if two equations have the same slope?

Back

If two equations have the same slope, they are parallel lines and will never intersect.

Front

What is the general form of a linear equation?

Back

Front

How can you determine if a point lies on a line represented by an equation?

Back

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

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients in a linear equation indicate the slope and the y-intercept, which determine the line's steepness and where it crosses the y-axis.

Front

How do you convert a table of values into a linear equation?

Back

To convert a table of values into a linear equation, find the slope using two points from the table, then use one point to solve for the y-intercept.