Writing Equations Bonus Flashcard

Front

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

Back

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

Front

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

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

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

Back

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

Front

How do you write an equation for a situation with a fixed cost and a variable cost?

Back

The equation is written as y = fixed cost + (variable cost per unit * number of units), e.g., y = 50 + 40x.

Front

What is the equation for a linear relationship with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept indicates the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by calculating the rise over run between two points on the line.

Front

What is the equation for a line that passes through the point (0, 5) with a slope of -3?

Back

The equation is y = -3x + 5.

Front

How do you convert the equation y = 2x + 4 to standard form?

Back

To convert to standard form, rearrange to 2x - y = -4.