Slope from equations

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness or incline of a line, represented by 'm' in the equation y=mx+b.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a slope is positive or negative from a graph?

Back

A slope is positive if the line rises from left to right and negative if it falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in the equation y=mx+b?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

Use the format 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

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

How can you identify the slope from the equation in standard form Ax + By = C?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope 'm'.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a slope of 1?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle.

Tags

CCSS.8.EE.B.5