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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Tags

CCSS.HSF.LE.B.5

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the y-intercept of the equation y = 3x + 7?

Back

The y-intercept is 7.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you identify the slope from the equation y = 2x - 5?

Back

The slope is 2, which is the coefficient of x.

Tags

CCSS.8.EE.B.5

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of 0.

Tags

CCSS.8.EE.B.5

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is 1/2, what does this mean in terms of rise over run?

Back

For every 2 units you move horizontally (run), the line rises 1 unit (rise).

Tags

CCSS.8.EE.B.5