y=mx+b from Tables

Front

What does the equation y=mx+b represent?

Back

It represents the equation of a straight line, where m is the slope and b is the y-intercept.

Front

What is the slope (m) in the equation y=mx+b?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

What is the y-intercept (b) in the equation y=mx+b?

Back

The y-intercept (b) 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, calculate the change in y divided by the change in x (rise/run) between two points.

Front

If a line has a slope of 2, what does that mean?

Back

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

Front

What is the equation of a line with a slope of -1 and a y-intercept of 3?

Back

y = -1x + 3 or y = -x + 3.

Front

How can you determine if a linear equation is in the form y=mx+b?

Back

Check if the equation can be rearranged to isolate y on one side, with mx and b on the other.

Front

What does it mean if the slope of a line is 0?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

How do you convert a slope-intercept form equation to a table of values?

Back

Choose values for x, substitute them into the equation to find corresponding y values, and create a table.