Graphing Linear Equations

Front

What is the equation of a line in slope-intercept form?

Back

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 of a line represent?

Back

The slope 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 is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

Given a slope of 2/3 and a y-intercept of (0, -3), what is the equation of the line?

Back

y = 2/3x - 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the point (0, 0) in graphing linear equations?

Back

(0, 0) is the origin, where the x-axis and y-axis intersect.