Mathematics, 06.10.2019 07:00 catwomn

1.
what is the slope of the line that passes through the points (-2,5) and (1,4)

a) -3
b) -2
c) -1/3
d) 1/3

2.
a line has a slope -5/3. through which two points could this line pass?

a) (12,13), (17,10)
b) (16,15) ,(13,10)
c) (0,7), (3,10)
d) (11,13), (8,18)

3.
the pair of points (6, y) and (10, -1) lie on a line with the slope on 1/4. what is the value of y?

a) -5
b) -2
c) 2
d) 5

4.
what is the slope with the vertical line?

a) -1
b) 0
c) 1
d) undefined

5.
the table below gives the cost per person to rent a fishing charter boat. find the rate of change given that it is constant. also, explaining the rate of change means for this situation. (the first photo)

a) 1/55
b) 110/1
c) 1/275
d) 55/1

1. what is the slope of the line that passes through the points (-2,5) and (1,4)

Answers: 2

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Answers

Answer from: lilpetals

1) The correct option is C. (2) The correct option is D. (3) The correct option is B. (4) The correct option is D. (5) The correct option is D.

Step-by-step explanation:

The slope formula is

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

(1)

Two points are (-2,5) and (1,4).

$m=\frac{4-5}{1-(-2)}=\frac{-1}{3}tex]Therefore option C is correct.(2)Use the above mentioned formula for each pair of coordinates.[tex]m=\frac{10-13}{17-12}=\frac{-3}{5}$

$m=\frac{10-15}{13-16}=\frac{-5}{-3}=\frac{5}{3}$

$m=\frac{10-7}{3-0}=\frac{3}{3}=1$

$m=\frac{18-13}{8-11}=\frac{5}{-3}=\frac{-5}{3}$

Therefore option D is correct.

(3)

The pair of points (6, y) and (10, -1). The slope is $\frac{1}{4}$ .

$\frac{1}{4}=\frac{-1-y}{10-6}$

$\frac{1}{4}=\frac{-1-y}{4}$

1=-1-y

y=-2

Therefore option B is correct.

(4)

For vertical line the x coordinates always remains the same. Therefore when we subtract the same number we get zero in the denominator, therefore the value of slope is undefined for a vertical line.

Therefore option D is correct.

(5)

Two points from the table are (2,110) and (3,165).

$m=\frac{165-110}{3-2}=\frac{55}{1}$

Therefore option D is correct.

Answer from: kimberlyvazquez1121

For 1: The correct option is C.

For 2: The correct option is D.

For 3: The correct option is B.

For 4: the correct option is D.

For 5: The correct option is D.

Step-by-step explanation:

For 1:

To calculate the slope of a line formed by two points, we use the formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$ ....(1)

Points given are (-2,5) and (1,4)

$Slope=\frac[4-5}{1-(-2)}=\frac{-1}{3}$

Hence, the correct option is C.

For 2:

Using equation 1, we calculate the slopes for every options, we get:

Option A: Points are (12,13) and (17,10)

$Slope=\frac{10-13}{17-12}=\frac{-3}{5}$

Option B: Points are (16,15) and (13,10)

$Slope=\frac{10-15}{13-16}=\frac{-5}{-3}=\frac{5}{3}$

Option C: Points are (0,7) and (3,10)

$Slope=\frac{10-7}{3-0}=\frac{3}{3}=1$

Option D: Points are (11,13) and (8,18)

$Slope=\frac{18-13}{8-11}=\frac{5}{-3}=\frac{-5}{3}$

Hence, the correct option is D.

For 3:

We are given two points (6,y) and (10,-1) and the slope of the line is $\frac{1}{4}$

Using equation 1, we get

$\frac{1}{4}=\frac{-1-y}{10-6}$

$\frac{-1-y}{4}=\frac{1}{4}$

$-1-y=1\\y=-2$

Hence, the correct option is B.

For 4:

The slope of any line is $\tan\theta$ , where $\theta$ is the angle made by the line with the positive x-axis in counter-clockwise direction.

So, the vertical line will form 90° with x-axis and hence, $\theta =90^o$

As, $\tan90^o=\infty$

Hence, the correct option is D.

For 5:

The given data is forming a linear relation. So, the slope will be same throughout its entire length.

The points taken for the calculation of slope are (2,110) and (3,165)

$Slope=\frac{165-110}{3-2}=\frac{55}{1}$

Hence, the correct option is D.

Answer from: Quest

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4) d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft

Answer from: Quest

x+14

step-by-step explanation:

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