**Assignment 03 (1.10) (Homework)**

Description: Lines

1) (a) The slope of a horizontal line is 0. . The equation of the horizontal line passing through (5, 2) is y=2

(b) The slope of a vertical line is Undefined. The equation of the vertical line passing through (5, 2) is x=5

2. Find an equation for the line whose graph is sketched.

Find an equation for the line whose graph is sketched.

3. Find an equation of the line that satisfies the given conditions. Through (2, 3); slope 4

y=4x-5

4. Find an equation of the line that satisfies the given conditions. *x*-intercept −10; *y*-intercept 5

y=0.5x+5

5. Find an equation of the line that satisfies the given conditions.

Through (1, 1); parallel to the line *y* = 2*x* – 9

y=2x-1

6. Find an equation of the line that satisfies the given conditions.

Through (−3, 3); perpendicular to the line *y* = −1/3x+8

Ans: y=3x+12

7. Find an equation of the line that satisfies the given conditions. Through (−2,−10); perpendicular to the line passing through (1, 2) and (5, 0)

y =2x-6

8. Find the x- and y-intercepts of the line.

y = −4x − 18

x-intercept = (x, y) = (-4.5,0)

y-intercept = (x, y) = (0, -18)

9. If the recommended adult dosage for a drug is *D* (in mg), then to determine the appropriate dosage *c* for a child of age *a*, pharmacists use the equation *c* = 0.0417*D*(*a* + 1). Suppose the dosage for an adult is 300 mg.

(a) Find the slope. 12.51

(b) What does it represent?

the maximum dosage for an adult

the difference between an adult’s dosage and a newborn’s dosage

the maximum difference between an adult’s dosage and a newborn’s dosage

the increase in dosage for each one-month increase in the child’s age

the increase in dosage for each one-year increase in the child’s age

c.) What is the dosage for a newborn? mg

10. A small-appliance manufacturer finds that if he produces *x* toaster ovens in a month his production cost is given by the equation

*y* = 8*x* + 3000

(where *y* is measured in dollars).

(a) Sketch a graph of this linear equation.

(b) What does the slope of the graph represent?

the fixed cost of a toaster oven

how much a toaster oven cost last month

how much a toaster oven will cost next month

the cost per toaster oven

the monthly fixed cost

What does the *y*-intercept of the graph represent?

the fixed cost of a toaster oven

how much a toaster oven cost last month

how much a toaster oven will cost next month

the cost per toaster oven

the monthly fixed cost

12.51

y=2x+4

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