Linear Functions Unit Review

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?

• $y\ =\ \frac{1}{2}x\ +\ 2$

• $y\ =\ \frac{1}{2}x\ +\ \frac{5}{2}$

• $y\ =\ \frac{1}{2}x\ -\ \frac{7}{2}$

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

• $y\ =\ -\frac{1}{3}x\ +\ 9$

• $y\ =\ -3x\ +\ 5$

• $y\ =\ -\frac{1}{3}x\ +\ 5$

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

Hint, Substitute both points and see which equation is true for both.

• 5x + 3y = 18

• 5x – 3y = 30

• 5x – y = 30

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

• c(x) = 5.50x + 20.50

• c(x) = 5.50 + 21.60x

Which equation represents a line that passes through (2, –1/2) and has a slope of 3?

• y – 2 = 3(x + 1/2)

• y – 3 = 2(x + 1/2)

• y + 1/2 = 3(x – 2)

• y + 1/2 = 2(x – 3)

Alejandra correctly wrote the equation y – 3 = 1/5(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

• y – 6 = 2(x – 10)

• y – 3 = 2(x – 10)

• y – 3 = 1/5(x – 2)

Which is the graph of the equation?

 $y\ -\ 1\ =\ \frac{2}{3}\left(x\ -\ 3\right)$  

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What is the y-intercept of the function f(x)=4 – 5x?

• -5

• 4

• -4

• 5

What is the slope of the line represented by the equation f(t)=2t−6?

• The slope is 2 and the y-intercept is −6.

• The slope is −6 and the y-intercept is 2.

• The slope is 2 and the y-intercept is 6.

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

• f(x) = 5x + 2.25

• f(x) = 2.25x + 5

• f(x) = 2.25x − 5