Writing Linear Equations from Tables

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

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

If a linear equation has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

Write a linear equation for a slope of -3 and a y-intercept of 4.

Back

The linear equation is y = -3x + 4.

Front

What is the first step to writing a linear equation from a table?

Back

The first step is to identify two points from the table to calculate the slope.

Front

If a linear equation is y = 5x - 2, what is the y-intercept?

Back

The y-intercept is -2.

Front

How can you determine if a relationship is linear from a table?

Back

A relationship is linear if the differences between y-values divided by the differences between x-values are constant.

Front

What is the equation of a line with a slope of 1 and passing through the point (0, 3)?

Back

The equation is y = x + 3.