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hichkok12 [17]
2 years ago
15

what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)

Mathematics
1 answer:
miv72 [106K]2 years ago
7 0

Answer:

The equation of the line that is <em>perpendicular</em> to <em>y = 2x + 2</em> is

<em>y = -1/2x</em>

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is <em>2</em>

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

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Answer:

He has 47

Step-by-step explanation:

if one guy has 50 it wold make sense to give the other 50 but since he has 53 then he must have 47

5 0
3 years ago
Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4
vfiekz [6]

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

  • let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

  • the first equation can be written as y=5-2x
  • the general equation of a straight is y=mx+c

( where m is the slope and c is the y-intercept )

  • now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5
  • the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.
  • now plot the graph using above information.

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

  • by seeing the graph, the value of x is 2.625.

3 0
3 years ago
The perimeter of a rectangle is 78cm.
mestny [16]

Answer:

17 cm

Step-by-step explanation:

P=2L+2W

L=22, P=78 we want to find W

78=2(22)+2W

78=44+2W

34=2W

W=17 cm

3 0
3 years ago
Determine the relationship
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The correct answer is A
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According to the instructions on a bag of fertilizer are needed for every 100 square feet of lawn. How many square feet will a 2
goblinko [34]

Answer:

25 times 100= 2500

Step-by-step explanation:

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