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 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, which indicates the steepness and direction of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does 'b' represent in the equation y = mx + b?

Back

'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 between 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

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

Back

A slope of 0 indicates that the line is horizontal.

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 that the line is vertical.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from the graph of a line?

Back

The slope can be determined by selecting two points on the line and using the rise over run method: slope = rise/run.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the line is 5.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept of the line is 4.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3