PreAP: Unit 3 Equations from tables, graphs, word problems

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) in the equation of a line, where b is the y-intercept value.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope of the line and b is the y-intercept.

Front

How do you find the slope of a line from a graph?

Back

The slope is calculated as the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one slope is m, the other is -1/m.

Front

What is the y-intercept of the equation y = 3x - 5?

Back

The y-intercept is -5.

Front

How do you convert a table of values into a linear equation?

Back

Identify the slope from the change in y over the change in x, then use a point from the table to find the y-intercept.