Matching equations, tables, & graphs flashcard

Front

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

Back

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 do you determine the slope from a table of values?

Back

Calculate the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

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

Back

The point where the line crosses the y-axis (x=0).

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

How can you identify a linear relationship from a graph?

Back

If the graph is a straight line, it represents a linear relationship.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does a positive slope indicate about a line?

Back

The line rises from left to right, indicating a positive relationship between x and y.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

The line falls from left to right, indicating a negative relationship between x and y.

Tags

CCSS.8.EE.B.5

Front

How do you write the equation of a line given two points?

Back

Use the slope formula to find m, then use point-slope form: y - y1 = m(x - x1).

Front

What is the significance of the slope in a real-world context?

Back

It represents the rate of change between two variables.

Tags

CCSS.8.EE.B.5

Front

How can you match an equation to a graph?

Back

Identify the slope and y-intercept from the equation and compare them to the graph.