Writing a linear equations

Mathematics

1 answer:

Ray Of Light [21]2 years ago

7 0

y = (1/6)x - 3

Step-by-step explanation:

The line goes through (0, -3) and (6, -2) and the slope is given by

m = (y2 - y1)/(x2 - x1)

= (-2 -(-3))/(6 - 0)

= 1/6

so the slope-intercept form of a linear equation is given by

y = mx + b

Using the value of m we just obtained and using the point (0, -3) to find b, we get

(-3) = (1/6)(0) + b ---> b = -3

Therefore, the equation takes the form

y = (1/6)x - 3

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The local bike shop sells a bike and accessories package for $320 if the bike is worth 7 times more than the accessories,how muc

sdas [7]

So, bike=b and accessories=a.

b+a=320

Since the bike is worth 7 times more than the accessories, the b would turn into 7a (because 7 times the cost of accessories is the cost of the bike).

The equation would now turn into 7a+a=320.

Solve for a.

7a+a=320
8a=320
a=40

Now that you know the cost of the accessories, you multiply that 40
by 7 to get the cost of the bike.

40(7)
280

The cost of the bike is $280.
The cost of the accessories are/is $40.

6 0

3 years ago

Mr peterson will buy 80 feet of fencing. The pieces of fence come in whole numbers of feet. His enclosure will be a rectangle an

DIA [1.3K]

The perimeter is:
P = 2x + 2y = 80
The area is:
A = x * y
The area as a function of a variable is:
A (x) = x * (40-x)
Rewriting we have:
A (x) = 40x-x ^ 2
We derive the function:
A '(x) = 40-2x
We equal zero and clear x:
40-2x = 0
2x = 40
x = 40/2
x = 20 feet
The other dimension is:
y = 40 - x
y = 40 - 20
y = 20 feet
The area will be:
A = x * y
A = 20 * 20
A = 400 feet ^ 2
Answer:
The dimensions are:
x = 20 feet
y = 20 feet
The area is:
A = 400 feet ^ 2

5 0

3 years ago

Find the slope of the line passing through (-4,6) and (10,8)

muminat

Answer:

1/7

Step-by-step explanation:

In order to determine the slope, we must find the change in y over the change in x:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{8-6}{10--4}$ = 2/14= 1/7.