Analyzing Linear Equations

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the equation y = mx + b.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line indicate?

Back

The slope indicates how much the y-value changes for a unit change in the x-value; it represents the rate of change.

Front

What is the formula for a linear equation in slope-intercept form?

Back

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

Front

What is the unit rate in a linear relationship?

Back

The unit rate is the ratio that describes how much one quantity changes in relation to one unit of another quantity.

Front

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

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the slope formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

'b' stands for the y-intercept, which is the value of y when x = 0.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What is the significance of a negative slope?

Back

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