y=mx+b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Tags

CCSS.8.EE.B.5

Front

How can you identify the y-intercept (b) in the equation y = mx + b?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope (m) is 2.

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Rearrange the equation to solve for y: y = (-A/B)x + (C/B).

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope (m) is -4.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of 3 that passes through the point (1, 2)?

Back

The equation is y = 3x - 1.