All categories

3 years ago

Which equation best represents the line? (10 Points)

Mathematics

1 answer:

son4ous [18]3 years ago

7 0

Answer: D. y = 3x − 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 2

y1 = - 1

x2 = 1

x1 = 0

Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3

To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c

y = mx + c. It becomes

2 = 3 × 1 + c = 3 + c

c = 2 - 3 = - 1

The equation becomes

y = 3x - 1

You might be interested in

What 2 numbers multiply to -147 but add to -14?

Bezzdna [24]

Okay, so let's go over multiplying negative numbers. A positive times a positive is a positive, right? But a negative times a negative is also a positive. Only a negative times a positive (or a positive times a negative) gives you a negative number. So, we know that one of our 2 numbers in this question must be negative; the other must be positive.

Let's now take a look at the factors of -147, starting with the positives. Obviously, -147 and 1 are factors: -147 * 1 = -147. What other factors of -147 are there?

What about 7? Try it: -147 / 7 = -21. So here are two factors: -21, and 7. They multiply to -147. Do they add up to -14? Let's see: -21+7 = 7+(-21) = 7-21= -14. Yup, that works!

Answer: -21 and 7

4 0

2 years ago

Hey can you please help me posted picture of question

juin [17]

For this case we can have the following function:
r = f (t)
Where,
Independent variable is t.
Dependent variable is r.
To find the inverse we solve for the independent variable, that is, the data entry variable.
Answer:
FALSE
option B

6 0

3 years ago

Which Roman numeral is equivalent to the number below?

mafiozo [28]

I believe LX is the answer.

5 0

3 years ago

Which macaw has a mass closest to 1 kilogram?

Nataliya [291]

Answer:

green winged

Step-by-step explanation:

coz 1 kg = 1000g

and 900 is closer to 1000

7 0

2 years ago

Read 2 more answers

Here is a solid square-based pyramid.

Anna11 [10]

Answer:

Step-by-step explanation:

A. The front elevation of the pyramid in the direction of the arrow is herewith attached to this answer.

B. Base of the pyramid is a square of side 12 cm.

The height of the pyramid is 8 cm.

Slant height, XT, is 10 cm.

The total surface area of the pyramid can be determined by adding the surface areas that make up the shape.

Area of the triangular face = $\frac{1}{2}$ × base × slant height

= $\frac{1}{2}$ × 12 × 10

= 60 $cm^{2}$

Area of the square base = length × length

= 12 × 12

= 144 $cm^{2}$

Total surface area of the pyramid = area of the base + 4 (area of the triangular face)

= 144 + 4(60)

= 144 + 240

= 384 $cm^{2}$

Therefore, total surface area of the pyramid is 384 $cm^{2}$ .

5 0

2 years ago