8th Equation-Table-Graph

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 as (0, b) in the equation y = mx + b.

Front

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

Back

The slope of the line, which indicates the steepness and direction of the line.

Front

How do you find 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 is the formula for the slope-intercept form of a linear equation?

Back

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

Front

How can you determine the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does the term 'slope' indicate in a real-world context?

Back

The slope represents the rate of change between two variables, showing how much one variable changes in relation to another.

Front

What is the significance of the y-intercept in a word problem?

Back

The y-intercept often represents the starting value or initial condition in a real-world scenario.

Front

How do you interpret a negative slope in a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the relationship between a table of values and the slope of a line?

Back

The slope can be determined by calculating the change in y-values divided by the change in x-values from the table.

Front

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

Back

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