Slope-Intercept Form

Front

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

Back

The slope-intercept form is 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 does the 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

If the slope is positive, what does that indicate about the line?

Back

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

Tags

CCSS.8.EE.B.5

Front

If the slope is negative, what does that indicate about the line?

Back

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

Tags

CCSS.8.EE.B.5

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 equation y = -4x + 1?

Back

The y-intercept is 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if a slope is zero?

Back

A slope is zero if the line is horizontal, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs when the line is vertical, meaning x does not change as y changes.

Tags

CCSS.8.EE.B.5