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

'm' represents the slope of the line, indicating how steep the line is and the direction it goes.

Front

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

Back

'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, calculate the change in y (rise) over the change in x (run) between two points.

Front

If a linear equation has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

Front

If a linear equation has an undefined slope, what does that mean?

Back

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

Front

What is the y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

How can you determine if a linear equation is increasing or decreasing?

Back

If the slope (m) is positive, the line is increasing; if the slope is negative, the line is decreasing.

Front

Write a linear equation for a slope of 2 and a y-intercept of -3.

Back

The equation is y = 2x - 3.

Front

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

Back

Identify two points from the table to calculate the slope.