Slope & Intercepts

Front

What is the definition of the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope-intercept form of a linear equation 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 do you find the x-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

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

Front

What is the x-intercept of the equation y = 2x + 6?

Back

The x-intercept is -3, or (-3, 0).

Front

What is the y-intercept of the equation y = 2x + 6?

Back

The y-intercept is 6, or (0, 6).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept represents the value of y when x is zero, often indicating the starting point or initial condition in real-world scenarios.

Tags

CCSS.HSF.LE.B.5

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Tags

CCSS.8.EE.B.6