Writing Equations from Tables, Graphs, and Word Problems

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 do you find the slope from a table of values?

Back

The slope (m) can be found by taking the difference in y-values divided by the difference in x-values (m = (y2 - y1) / (x2 - x1)).

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 by the value of b in the equation y = mx + b.

Front

How can you determine if a relationship is linear from a graph?

Back

A relationship is linear if the graph forms a straight line.

Front

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

Back

Identify the variables and what they represent in the context of the problem.

Front

What does the term 'rate of change' refer to in a linear relationship?

Back

The rate of change refers to the slope of the line, indicating how much y changes for a unit change in x.

Front

How do you write an equation from a graph?

Back

Identify two points on the line, calculate the slope, and use one point to find the y-intercept.

Front

What is the equation of a line with a slope of -3 and a y-intercept of -3?

Back

The equation is y = -3x - 3.

Front

How do you interpret the coefficients in a linear equation?

Back

The coefficient of x represents the slope, and the constant term represents the y-intercept.

Front

What is the significance of the x-intercept in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, indicating the value of x when y = 0.