word problem linear flashcard review

Front

What is the slope in the equation y = 2x + 4?

Back

The slope is 2.

Front

What is the y-intercept in the equation y = 2x + 4?

Back

The y-intercept is 4.

Front

What is the algebraic equation for the table where y increases by 1 for every increase of 1 in x, starting from 3?

Back

y = x - 3.

Front

How do you find the slope of a line given two points (2,1) and (4,5)?

Back

Slope (m) = (y2 - y1) / (x2 - x1) = (5 - 1) / (4 - 2) = 2.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

If a car rental charges $8.50 per hour and a flat fee of $25.50, what is the equation representing the total cost y in terms of hours x?

Back

y = 8.5x + 25.5.

Front

What does the term 'y-intercept' mean?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What is the relationship between the number of months x and the total membership y if a fitness club starts with 80 members and gains 15 members each month?

Back

y = 15x + 80.

Front

How do you convert a word problem into an algebraic equation?

Back

Identify the variables, constants, and relationships described in the problem.

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.