Slope Intercept Form

Front

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

Back

The slope-intercept form is 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 does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in a linear equation?

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

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, y increases by 4 units.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the line is -2/3.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line with a slope of -1 and a y-intercept of 3?

Back

The equation is y = -1x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert the equation y = 2x + 5 to slope-intercept form?

Back

The equation is already in slope-intercept form: y = 2x + 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the function y = 2/3x + 6?

Back

The slope is 2/3.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Tags

CCSS.8.EE.B.5