8th Grade Graphing Equations 8.5

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

What does slope represent in a graph?

Back

Slope represents the steepness of a line, indicating how much the y-value changes for a change in the x-value.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 1/2, what does this mean?

Back

For every 2 units you move right (positive x-direction), you move up 1 unit (positive y-direction).

Front

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

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line ascends from left to right.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.