Slope-Intercept Form

Front

What is 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 do you identify the slope from a graph?

Back

The slope can be identified by determining the rise over run between two points on the line.

Tags

CCSS.8.EE.B.5

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, 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 the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Tags

CCSS.8.EE.B.5

Front

How can you find the slope from a table of values?

Back

To find the slope from a table, calculate the change in y divided by the change in x (Δy/Δx) between two points.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, which can be used to analyze trends in various contexts, such as economics or physics.

Tags

CCSS.8.EE.B.5

Front

How do 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

Front

How do you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1 (m1 * m2 = -1).

Tags

CCSS.8.EE.B.6