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 y-intercept from an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

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

Front

What is the relationship between slope and steepness of a line?

Back

A larger absolute value of the slope indicates a steeper line, while a slope of 0 indicates a horizontal line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How can you convert a linear equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is a table of values in relation to linear equations?

Back

A table of values lists pairs of x and y coordinates that satisfy a linear equation.