Analyze Linear Equations y = mx + b

Front

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

Back

The slope-intercept form of a linear equation 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 equation y = mx + b?

Back

In the equation y = mx + b, '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 equation y = mx + b?

Back

In the equation y = mx + b, '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

What is a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant of the line.

Tags

CCSS.8.EE.B.5

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant of the line.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x does not change and y can take any value.

Tags

CCSS.8.EE.B.5

Front

How do you determine 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 equation of a line with a slope of -3 and a y-intercept of -3?

Back

The equation of the line is y = -3x - 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert the equation y = -2x - 5 to standard form?

Back

To convert to standard form, rearrange to 2x + y = -5.

Front

What is the y-intercept of the line y = 2x - 5?

Back

The y-intercept is -5, which is the point (0, -5) on the graph.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3