Ch 4.4 - 4.6 Flashcard Extension

Front

What is the appropriate domain for the function f(x) = 15x + 20, where x is the number of hours worked by Janice?

Back

Any value between 0 and 5.

Front

Convert the equation y + 5 = -3(x - 6) into slope-intercept form.

Back

y = -3x + 13.

Front

Write the equation in point-slope form of the line that passes through the point (4, -7) with a slope of -1/4.

Back

y + 7 = -1/4(x - 4).

Front

What is the equation to model the cost of a small pizza that costs $6.75 plus $1.50 for each topping?

Back

1.5x + 6.50 = y.

Front

Write the equation to model the total cost of adopting cats, where the adoption fee is $25 and each cat costs $40.

Back

40x + 25 = y.

Front

What does slope-intercept form of a linear equation look like?

Back

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

Front

Define point-slope form of a linear equation.

Back

Point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the meaning of the slope in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

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