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

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you identify a positive slope on a graph?

Back

A positive slope rises from left to right, indicating that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

How do you identify a negative slope on a graph?

Back

A negative slope falls from left to right, indicating that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept of the line is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning y remains constant regardless of x.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, meaning x remains constant regardless of y.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of -1 and a y-intercept of 3?

Back

The equation is y = -1x + 3 or y = -x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3