Linear Functions

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

How do you find the slope of a line given 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 does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between the two variables represented by the line.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in the equation y = 3x + 6?

Back

The y-intercept is 6, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.8.EE.B.6

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is 4, what is the angle of inclination of the line?

Back

The angle of inclination can be found using the tangent function: angle = arctan(4).

Tags

CCSS.8.EE.B.5

Front

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

Back

To convert to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3