Linear Equations from Tables

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Front

How can you determine if a table of values represents a linear relationship?

Back

A table of values represents a linear relationship if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

The formula to find the slope (m) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

If a linear equation is given in the form y = 2x + 3, what is the slope and y-intercept?

Back

The slope is 2 and the y-intercept is 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does it mean for a linear equation to be in slope-intercept form?

Back

A linear equation is in slope-intercept form if it is written as 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

How can you graph a linear equation using a table of values?

Back

To graph a linear equation using a table of values, create a table with x-values, calculate the corresponding y-values using the equation, and then plot the points on a coordinate plane.

Front

What is the significance of a linear equation having a slope of 0?

Back

A linear equation with a slope of 0 represents a horizontal line, indicating that the y-value remains constant regardless of the x-value.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a linear equation has an undefined slope?

Back

An undefined slope occurs in a vertical line, where the x-value remains constant and the y-value changes, indicating no change in x.

Tags

CCSS.8.EE.B.5