Writing Equations from a Graph

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) where b is the y-coordinate.

Front

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

Back

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

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

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 2?

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 is 4, represented as the point (0, 4).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope (m) is positive, the line is increasing. If the slope is negative, the line is decreasing.

Tags

CCSS.8.EE.B.5

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form 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

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3