Identifying Slope & Y-Intercept From A Graph

Front

What is the definition of SLOPE in a graph?

Back

The slope of a line in a graph represents the rate of change of the y-coordinate with respect to the x-coordinate. It is calculated as the rise over run, or the change in y divided by the change in x.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the Y-INTERCEPT of a line?

Back

The Y-INTERCEPT is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How can you find the Y-INTERCEPT from the equation of a line in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, the Y-INTERCEPT is represented by the value of b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

What is the Y-INTERCEPT of the line represented by the equation y = -2x + 5?

Back

The Y-INTERCEPT of the line is 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating that there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope occurs in a vertical line, indicating that there is no change in x as y changes.

Tags

CCSS.8.EE.B.5