Writing Linear Equations Answers

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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the equation for this line?

Question illustration
A
2x – 5y = –15
B
2x – 5y = –17
C
2x + 5y = –15
D
2x + 5y = –17
2
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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.

A
$19.00
B
$22.75
C
$43.75
D
$70.00
3

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?

A
c(x) = 3x + 3
B
c(x) = 6x + 3
C
c(x) = 7x + 3
D
c(x) = 8x + 3
4

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

A
y = x + 3
B
y = x – 3
C
y = 3x + 3
D
y = 3x – 3
5

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=. What is the value of b?

Question illustration
A
−6
B
−5
C
5
D
6
6

Which equation represents the line that passes through and ?

Question illustration
A
y equals negative StartFraction 5 Over 8 EndFraction x plus 6.
Option A
B
y equals negative StartFraction 5 Over 8 EndFraction x plus 16.
Option B
C
y equals negative StartFraction 15 Over 8 EndFraction x plus minus 49.
Option C
D
y equals negative StartFraction 15 Over 2 EndFraction x plus 71.
Option D
7

Marty and Ethan both wrote a function, but in different ways.Marty Ethan

Question illustration
A
Marty’s with a slope of 2/3
B
Ethan’s with a slope of 2/5
C
Marty’s with a slope of 1/3
D
Ethan’s with a slope of 1/5
8

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?

A
–21
B
–4
C
11
D
27
9

The table represents a linear equation.

Question illustration
A
y – 8 = –0.15(x – 10)
B
y + 8 = –0.15(x – 10)
C
y – 8 = –0.2(x + 10)
D
y + 8 = –0.2(x – 10)
10

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

Question illustration
A
y = x – 12
Option A
B
y = x – 4
Option B
C
y = x + 2
Option C
D
y = x + 6
Option D

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