Writing Equations from Tables, Graphs, and Word Problems

Front

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

Back

Front

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

Back

Front

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

Back

Front

How can you write an equation from a graph?

Back

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

Front

How do you convert a word problem into an equation?

Back

Identify the quantities involved, determine the relationship between them, and express that relationship using variables and constants to form an equation.

Front

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

Back

The slope indicates the rate of change of y with respect to x; a positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

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

Back

Front

What is point-slope form of a linear equation?

Back

Front

How do you identify the equation from a table of values?

Back

Look for a consistent change in y for a change in x to determine the slope, then find the y-intercept by checking the value of y when x = 0.