Writing Linear Equations from a Table

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 (m) represent in a linear equation?

Back

The slope (m) 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 does the y-intercept (b) represent in a linear equation?

Back

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

Front

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

Back

To determine the slope from a table, calculate the change in y divided by the change in x (rise/run) between two points.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you write a linear equation from a table of values?

Back

To write a linear equation from a table, identify the slope and y-intercept using the values in the table, then use the slope-intercept form.

Front

What is the difference between a positive and negative slope?

Back

A positive slope means the line rises as it moves from left to right, while a negative slope means the line falls as it moves from left to right.

Front

What does it mean if the slope is zero?

Back

If the slope is zero, the line is horizontal, indicating that y does not change as x changes.

Front

What does it mean if the slope is undefined?

Back

If the slope is undefined, the line is vertical, indicating that x does not change as y changes.

Front

How do you convert a linear equation to slope-intercept form?

Back

To convert to slope-intercept form, solve for y in terms of x, isolating y on one side of the equation.