Slope-Intercept Form

Front

What is the slope in the slope-intercept form of a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a line that slopes downward.

Tags

CCSS.8.EE.B.5

Front

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

Back

If the line rises from left to right, the slope is positive; if it falls from left to right, the slope is negative.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert, solve for y in terms of x, rearranging the equation to the form y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line represented by the equation y = 1/4x - 3?

Back

The slope is 1/4.

Tags

CCSS.8.EE.B.5