Multiple Representations

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 a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

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 by the value of b in the slope-intercept form.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where x remains constant, resulting in division by zero when calculating slope.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a line is horizontal?

Back

A horizontal line has a slope of 0, meaning it runs parallel to the x-axis.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of -3 and a y-intercept of -1?

Back

The equation is y = -3x - 1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line passes through the points (1, 2) and (3, 6), what is its slope?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line that decreases at a rate of 0.5 foot per day starting from 34 feet?

Back

The equation is y = -0.5x + 34.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2