A.3C - Linear Key Features

Front

What does the slope represent in a linear graph?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it moves.

Tags

CCSS.8.EE.B.5

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero at that point.

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, meaning the value of x is zero at that point.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if a line is horizontal or vertical?

Back

A horizontal line has a slope of 0 and is represented by the equation y = b. A vertical line has an undefined slope and is represented by the equation x = a.

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Tags

CCSS.8.EE.B.6