Chapter 4/5 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the variable 'm' represent in a linear equation?

Back

In a linear equation of the form y = mx + b, 'm' represents the slope of the line.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does the variable 'b' represent in a linear equation?

Back

In a linear equation of the form y = mx + b, '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 equation of a line with a slope of 4 and a y-intercept of 2?

Back

The equation is y = 4x + 2.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you determine the equation of a line from a table of values?

Back

To determine the equation, find the slope using two points from the table, then use one of the points and the slope to solve for the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Back

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -2, what does this indicate about the line?

Back

A slope of -2 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 2 units.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the value of y when x is 0, showing where the line crosses the y-axis.

Front

How can you identify a linear equation from a set of options?

Back

To identify a linear equation, look for the form y = mx + b, where m and b are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2