Writing Equations from Tables and Graphs

Front

What is the general form of a linear equation?

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).

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

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

Back

The slope (m) is 2.

Front

How can you identify a linear relationship from a graph?

Back

A linear relationship will show a straight line when plotted on a graph.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

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 equation of a line with a slope of 1 and a y-intercept of 4?

Back

y = x + 4.

Front

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

Back

Calculate the slope using the two points, then use one point to find the y-intercept.

Front

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

Back

The coefficients determine the slope and the y-intercept of the line.