Q: If $$f(x) = -rac{3}{2}x + 5$$, what is the slope and $$y-$$intercept?

Slope: $$-rac{3}{2}$$, $$y-$$intercept: $$5$$

Question 1

Given the function $$f(x) = 2x + 3$$, which of the following statements is true about its graph?

Accepted Answer

It is a straight line with a slope of $$2$$ and a $$y-$$intercept of $$3.$$

Question 2

Which of the following tables represents a linear function?

Accepted Answer

x: 1, 2, 3, 4; f(x): 5, 7, 9, 11

Question 3

What is the slope of the line passing through the points $$(2, 5)$$ and $$(6, 13)$$?

Accepted Answer

$$2$$

Question 4

Which equation is in point-slope form for a line passing through $$(3, -2)$$ with slope $$m = 4$$?

Accepted Answer

$$y + 2 = 4(x - 3)$$

Question 5

A certain strain of bacteria doubles every hour. Which of the following best describes the function $$B(t)$$ that models the number of bacteria after $$t$$ hours?

Accepted Answer

$$B(t) = 2^t$$

Question 6

If the equation of a line is $$y = -3x + 7$$, what is the $$y-$$intercept?

Accepted Answer

$$7$$

Question 7

Which of the following lines is perpendicular to the line $$y = rac{1}{2}x + 4$$?

Accepted Answer

$$y = -2x + 1$$

Question 8

Suppose the cost $$C(a) of $$planting seeds is given by $$C(a) = 3000 + 200a$$, where $$a is $$the number of acres planted. What does the number $$200$$ represent in this context?

Accepted Answer

The cost per acre planted.

Question 9

Given the points $$(1, 4)$$ and $$(5, 12)$$, what is the equation of the line passing through them in slope-intercept form?

Accepted Answer

$$y = 2x + 2$$

Question 10

Which of the following is NOT a characteristic of a linear function?

Accepted Answer

Its graph is a curve.

Question 11

If $$f(x) = -rac{3}{2}x + 5$$, what is the slope and $$y-$$intercept?

Accepted Answer

Slope: $$-rac{3}{2}$$, $$y-$$intercept: $$5$$

Question 12

Which of the following equations represents a line parallel to $$y = 4x - 1$$?

Accepted Answer

$$y = 4x + 7$$

Question 13

A student is analyzing the cost of textbooks as a linear function. If the cost is $$C(n) = 120 + 80n$$, where $$n is $$the number of textbooks, what is the fixed cost?

Accepted Answer

$$120$$

Question 14

Which of the following best describes the slope of a line that is horizontal?

Accepted Answer

Zero

Question 15

If a line passes through $$(0, 5)$$ and $$(4, 1)$$, what is its slope?

Accepted Answer

$$-1$$

Question 16

Which of the following is the correct formula for the slope $$m$$ between two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$m = \frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 17

A line has equation $$y = 5x + b. If it $$passes through the point $$(2, 9)$$, what is the value of $$b$$?

Accepted Answer

$$-1$$

Question 18

Which of the following equations is NOT linear?

Accepted Answer

$$y = x^2$ + 3$$

Question 19

If the graph of a line passes through $$(0, -3)$$ and has a slope of $$4$$, what is its equation?

Accepted Answer

$$y = 4x - 3$$

Question 20

Which of the following best describes the relationship between the slopes of perpendicular lines?

Accepted Answer

They are negative reciprocals.

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