Graphing a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

Front

How do you interpret a positive slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you interpret a negative slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines, where the x-value does not change, leading to a division by zero in the slope formula.

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 'b' in the slope-intercept form of a line, y = mx + b.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from the equation y = mx + b, set x = 0 and solve for y.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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 graph the equation y = 2/3x - 3?

Back

To graph y = 2/3x - 3, start at the y-intercept (0, -3) and use the slope (2/3) to find another point by going up 2 units and right 3 units.

Front

What does the equation y = 4x - 1 represent?

Back

The equation y = 4x - 1 represents a line with a slope of 4 and a y-intercept of -1.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3