Slope and Y-Intercept

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).

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 represented as (0, b) in the equation of a line, where b is the y-intercept value.

Front

How do you find 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 is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The y-intercept is (0, 4).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you write the equation of a line given the slope and y-intercept?

Back

The equation can be written in the form 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

What is the slope of the line represented by the equation y = 3x - 7?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line is decreasing; as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5