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Slav-nsk [51]
2 years ago
5

What is the slope-intercept equation of the line below?

Mathematics
1 answer:
Nataly [62]2 years ago
4 0

Answer:

D

Step-by-step explanation:

We will use the 2 coordinates marked on the graph as the reference.

The coordinates are:

A(4,-2)

B(0,3)

We know that the standard form for equation of line is:

y = mx+c

where m is the slope of the equation

and c is the y-intercept.

Very clearly, the y-intercept is where the line intercepts the y line.

and in this case, y-intercept = c = 3.

Now we know that the equation of line is now

y = mx + 3

To find m, the slope, we can use the 2 above coordinates.

slope of line = \frac{y1-y2}{x1-x2} \\=\frac{-2-3}{4-0} \\=\frac{-5}{4} \\=-\frac{5}{4}

(Note: There is a 2nd way to find the slope in this case, let me know if you are interested to find out.)

Equation of line: y=-\frac{5}{4} x+3

Therefore the answer is D.

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Please help me with my math homework
dezoksy [38]

Answer:

d. COB

Step-by-step explanation:

Complementary angles are angles which add to 90 or form right angles.

COB complements COD.

4 0
3 years ago
In mathematics given that x=L2-L1/L1(O2-O1).
Assoli18 [71]

Answer:

1. L1 = \frac{L2}{X(O2 -O1)}

2. O2 = \frac{L2 - L1(1 + XO1)}{XL1}

Step-by-step explanation:

Given: x = \frac{L2 - L1}{L1(O2 -O1)}

1. To make L1 the subject of formula;

x = \frac{L2 - L1}{L1(O2 -O1)}

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

collect like terms,

L2 = xL1(O2 - O1) + L1

factorize the right hand side;

L2 = L1[x(O2 - O1)]

L1 = \frac{L2}{X(O2 -O1)}

2. To make O2 the subject of formula;

x = \frac{L2 - L1}{L1(O2 -O1)}

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

open the bracket to have;

L2 - L1 = xL1O2 - xL1O1

⇒ xL1O2 = L2 - L1 + xL1O1

O2 = \frac{L2-L1 + XL1O1}{XL1}

     = \frac{L2 - L1(1 + XO1)}{XL1}

4 0
2 years ago
What is an equation of the line that passes through the points (-1, 6) (−1,6) and (-1, -5) (−1,−5)
slavikrds [6]

Answer:

x = -1

Step-by-step explanation:

You can write the equation of the line by finding the slope between the points and substitute it with a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{6--5}{-1--1} =\frac{11}{0} = und

These points have a slope which is undefined. This means it is a vertical line that crosses through the x-axis at the x-coordinate of both points -1. The equation is x = -1.

8 0
3 years ago
Which of the following is a reasonable estimated answer to the following problem? 989,867 ÷ 999
kolezko [41]
991 if you round it off.

990.8
Above 5 so go up one

5 0
3 years ago
Read 2 more answers
A company performed power tests on a set of batteries of the same type. The company 10 determined that the equation y = 100 - 8.
alexgriva [62]
For this case we have the following equation:
 y = 100 - 8.9x
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 Substituting:
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 Answer:
 
the best prediction of the percent of remaining power for a battery after 11 hours of use is:
 
y = 2.1%
7 0
3 years ago
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