Math Lab Multiple Relationships

Front

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

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

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

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = 2x + 5?

Back

The slope (m) is 2.

Front

How do you identify the y-intercept from the equation y = 2x + 5?

Back

The y-intercept (b) is 5.

Front

What is the equation for a linear relationship with a slope of 0.15 and a fixed cost of $40?

Back

y = 0.15x + 40.

Front

If a candle burns at a rate of 1.5 inches per hour, what is the equation for its height over time?

Back

y = -1.5x + 12, where y is the height and x is time in hours.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the equation for a line that passes through the point (0, 3) with a slope of 1?

Back

y = x + 3.

Front

What is the general form of a linear equation?

Back

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

Front

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

Back

Identify the variables, the relationship between them, and any fixed costs or rates.