Write Equations from Graphs, Tables, Stories

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as 'm' in the equation y = mx + b.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Front

How do you write an equation from a graph?

Back

Identify the slope and y-intercept from the graph, then use the slope-intercept form y = mx + b.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

How do you determine the equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in the form of an equation.

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change of the dependent variable with respect to the independent variable.

Front

What is the first step in writing an equation from a story problem?

Back

Identify the key quantities and their relationships described in the problem.