Test 4-1: Slope & Graphing Linear Equations

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope between 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 standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Convert the slope-intercept form y = mx + b to standard form.

Back

To convert to standard form, rearrange the equation to the form Ax + By = C.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change (rise) regardless of the horizontal change (run).

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation y = 4 - 3x to standard form?

Back

Rearranging gives 3x + y = 4.

Front

What is the slope of the line represented by the equation y = 5/6x + 1/3?

Back

The slope is 5/6.

Tags

CCSS.8.EE.B.5

Front

How do you determine the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the slope formula.

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

Tags

CCSS.8.EE.B.5