Writing Equations of Lines

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

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) in the equation.

Front

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

Back

A slope of 0 indicates a horizontal line.

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 a vertical line.

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

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

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 is 2.

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 is (0, 4).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1