8.AF.6 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

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) using any two points from the table.

Front

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

Back

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

Front

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

Back

'b' represents the y-intercept of the line.

Front

If a line has a slope of -2.5, what does this indicate about the line's direction?

Back

A slope of -2.5 indicates that the line is decreasing, meaning as x increases, y decreases.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

If the y-intercept of a line is 8, what is the value of 'b' in the equation y = mx + b?

Back

The value of 'b' is 8.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the starting value of y when x is 0.

Front

How can you determine if a slope is positive or negative from a graph?

Back

If the line rises from left to right, the slope is positive; if it falls from left to right, the slope is negative.

Front

What does a slope of 1.5 indicate about the relationship between x and y?

Back

A slope of 1.5 indicates that for every 1 unit increase in x, y increases by 1.5 units.