The graph of a line passes through the points (0, -2) and (6.0). What isthe equation of the line?

Answers

Answer 1
Answer:

Answer:

y=(1)/(3)x-2

Step-by-step explanation:

The equation of a line is given in the form  y=mx+b

Where

m is the slope with formula  m=(y_2-y_1)/(x_2-x_1)

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

m=(0+2)/(6-0)=(1)/(3)

Now we have

y=(1)/(3)x+b

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

y=(1)/(3)x+b\n0=(1)/(3)(6)+b\n0=2+b\nb=-2

Thus,

equation of line = y=(1)/(3)x-2


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the length and width of a book are in the ratio 3:2. What fraction of the length is the width of the book

Answers

The fraction of the length is the width of the book is 2/3.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, the length and width of a book are in the ratio 3:2.

The fraction is 2/3

Therefore, the fraction of the length is the width of the book is 2/3.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

What fraction of the length is the width of the book
 is 2:3

The product of the slopes of perpendicular lines equals what?

Answers

The product of the slopes of perpendicular lines equals -1

Solution:

Need to determine product of slope of perpendicular lines.

Product of slopes of perpendicular lines is always equal to -1.

lets verify this.

let consider following two equation of perpendicular lines

2x – y = 1

x + 2y = 2

Now evaluate slope of each line by representing them in slop intercept form that is y = mx + c

Where coefficient of x represents slope m.

Representing first line in slope intercept form we get

y = 2x – 1

On comparing above equation with slope intercept form we can say that its slope is 2.

Similarly representing x + 2y = 2 equation in slope intercept form we get

y=-(1)/(2) x+1

On comparing above equation with slope intercept form we can say that its slope is (-1)/(2)

On multiplying slopes of two perpendicular lines we get,

2 *\left(-(1)/(2)\right)=-1

Hence product of slope of perpendicular line is -1

If two non-vertical lines are perpendicular, then their slopes are opposite reciprocals giving you -1.

:) Hope this helps.

The cost of 28 pounds horse feed is 63.28 what is the per pound of horse feed

Answers

$2.26 pounds of horse feed

The formula V=lwh is used to calculate the volume of a rectangular prism. What is the equation solved for h?A)Vlw=h
B)lw/v=h
C)V/lw=h
D)Vh=lw
10 points!!! Please help!!

Answers

(h is multiplied with l and w. The opposite of multiplication is division. divide lw from each side)

V=lwh

(V)/(lw) = (lwh)/(lw)

(V)/(lw) =h

The answer is C) V/lw = h


You have said that                            V          = l w h

Divide each side by ' l w ' :                V / l w  =       h

For how many hours of work will jose total summer pay be less than $260using equation y=5x+80

Answers

Hi there! The answer is less than 36 hours of work.

5x + 80  < 260
Subtract 80

5x  < 180
Divide by 5.

x < 36
Therefore, the outcome will be smaller than $260, if he works less than 36 hours.

Descirbe One way to use a line plot

Answers

A line plot is a graph that shows frequency of data along the line