Writing Equations from Tables and Graphs

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Calculate the change in y divided by the change in x (rise/run) between two points.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

If a table shows a constant rate of change, what type of function does it represent?

Back

It represents a linear function.

Front

How can you identify a linear equation from a graph?

Back

A linear equation will produce a straight line when graphed.

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

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

Back

The line decreases as it moves from left to right.

Front

How do you write an equation from a graph?

Back

Identify the slope and y-intercept, then use the slope-intercept form y = mx + b.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

How do you find the equation of a line given two points?

Back

Use the slope formula to find the slope, then use point-slope form to write the equation.