Writing Equations 8.5I

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the variable 'm' represent in the equation of a line?

Back

The variable 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, represented by the variable 'b' in the equation y = mx + b.

Front

How can you convert a word problem into a linear equation?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

What is the significance of the security deposit in the context of a rental equation?

Back

The security deposit is a fixed amount added to the total cost, represented as a constant in the linear equation.

Front

What does the equation y = 425x + 600 represent in a rental scenario?

Back

This equation represents the total cost (y) for renting x months, where $425 is the monthly rent and $600 is the security deposit.

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates how much the dependent variable (y) changes for each unit increase in the independent variable (x).

Front

What is the equation of a line with a slope of -4/5 and a y-intercept of 3?

Back

The equation is y = -4/5x + 3.

Front

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

Back

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