Writing & Graphing Linear Equations Review

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If a line has a slope of 2 and a y-intercept of -3, what is the slope-intercept form of the equation?

Back

The equation is y = 2x - 3.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of x.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Tags

CCSS.8.EE.B.5

Front

How do you graph a linear equation in slope-intercept form?

Back

Start by plotting the y-intercept (0, b) and then use the slope (rise/run) to find another point.

Front

What is the slope of the line represented by the equation 3x + 4y = 12?

Back

First, convert to slope-intercept form: 4y = -3x + 12, then y = -3/4x + 3. The slope is -3/4.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.5