Algebra 1 4.3 Write Equations from Tables, Graphs, and Verbal

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation y = mx + b. It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you write a linear equation in slope-intercept form?

Back

A linear equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the y-intercept of the equation y = 2x + 5?

Back

The y-intercept of the equation y = 2x + 5 is 5, which is the value of y when x = 0.

Front

How do you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope (m) and the y-intercept (b) from the graph, then write the equation in the form y = mx + b.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope of the line represented by the equation y = -3x + 2 is -3.

Front

If a line has a slope of 0, what does that indicate?

Back

A line with a slope of 0 is horizontal, indicating that there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

Front

How do you convert a verbal description of a relationship into a linear equation?

Back

To convert a verbal description into a linear equation, identify the slope and y-intercept from the description and use the form y = mx + b.