Writing Linear Equations

Line AB passes through points A(-6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b, then m = - 1/6 and b = _.

5

The point-slope form of the equation of the line that passes through (-5, -1) and (10, -7) is y + 7 = 2/5(x - 10). What is the standard form of the equation for this line?

2x + 5y = -15

The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the point-slope form of the equation for this line?

d

Line JK passes through points J(-4, -5) and K(-6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

-21

Which equation represents the line that passes through (-6, 7) and (-3, 6)?

B

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered?

c(x) = 5.50 + 20.50x

The table represents a linear equation. Which equation shows how (-10, 8) can be used to write the equation of this line in point-slope form?

y - 8 = -0.2(x + 10)

The cost in dollars, y, of a large pizza with x toppings from Pat's Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50. What is the cost of a pizza with 5 toppings? Round to the nearest penny. $_

22.75

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes?

a

Which equation represents the line that passes through (-8, 11) and (4, 7/2)?

a

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4 (x - 8). What is the slope-intercept form of the equation for this line?

c

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = 1/2 (x - 1). What is the slope-intercept form of the equation for this line?

c

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

c(x) = 6x + 3

The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?

y = 12x + 8

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

y = x + 2

Line CD passes through points C(1, 3) and D(4, -3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

5

Line CD passes through points C(3, -5) and D(6, 0). What is the equation of line CD in standard form?

5x - 3y = 30

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). What is the standard form of the equation for this line?

x - 4y = 8

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-slope form of the equation for this line?

y + 13 = 5(x + 2)

Line GH passes through points (2, 5) and (6, 9). Which equation represents line GH?

y = x + 3