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

Which type of line has a slope of 0?

Back

A horizontal line has a slope of 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

A vertical line has an undefined slope.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.HSF.LE.B.5

Front

How do you find the slope between 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 equation of a line with a slope of -2 and a y-intercept of 3?

Back

The equation is y = -2x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you identify a horizontal line on a graph?

Back

A horizontal line is represented by the equation y = k, where k is a constant.

Front

How can you identify a vertical line on a graph?

Back

A vertical line is represented by the equation x = k, where k is a constant.