7.10C Writing Real World 2-Step Equations & Inequalities

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you represent a linear relationship where a fitness club starts with 80 members and increases by 15 members each month?

Back

The equation is y = 15x + 80, where y is the total membership and x is the number of months.

Front

What is the cost equation for a music club membership that costs $15 to start and $8 per CD?

Back

The equation is C = 8x + 15, where C is the total cost and x is the number of CDs.

Front

How do you express a linear relationship from a table where y increases by 5 for every increase of 1 in x?

Back

The equation is y = 5x + 5.

Front

What equation represents a negative slope with a y-intercept of 27?

Back

The equation is y = -6x + 27.

Front

What does the variable 'm' represent in the slope-intercept form?

Back

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

Front

What does the variable 'b' represent in the slope-intercept form?

Back

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

Front

How can 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 significance of the y-intercept in a real-world context?

Back

The y-intercept represents the starting value of a situation before any changes occur.

Front

How do you write an equation for a situation where a quantity decreases over time?

Back

The equation will have a negative slope, for example, y = -kx + b, where k is a positive constant.