The line passes through (8,-7) and is parallel to the line whose equation is y=2x+2.

Mathematics

2 answers:

Zanzabum1 year ago

8 0

y=2x+2

Compare to slope intercept form

Slope=m=2

Parallel lines have slopes equal

Equation in point slope form

y+7=2(x-8)
y+7=2x-16
y=2x-23

Mademuasel [1]1 year ago

4 0

Answer:

y = 2x -23

Explanation:

Given equation: y = 2(x) + 2

Comparing with slope intercept formula: y = m(x) + b

where m is slope, b is y-intercept

Here slope: 2 as parallel line has same slope

Find equation:

y - y1 = m(x-x1)

y -(-7) = 2(x-8)

y + 7 = 2x - 16

y = 2x - 16 - 7

y = 2x -23

Given graph to confirm answer:

You might be interested in

Let f(x)=2.912345x^2+3.131579x-0.099999

Rudiy27

A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²+3.131579x-0.099999
f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4) * 100
Percentage error = |60 - 59.023837|/59.023837 * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.

5 0

3 years ago

Which graph has an amplitude of 1/2?

Serjik [45]

Answer:

Step-by-step explanation:

The only graph shown in the question doesn't have amplitude 1/2. look for a graph of a periodic wave function that has maximum y-value 1/2 (0.5) and minimum y-value 1/2 (0.5), or if it is not oscillating around the x-axis, verifies that the distance between minimum y-value and maximum y-value is "1" (one). This is because the amplitude is half of the peak-to-peak distance.

Look at the attached image as example.

8 0

3 years ago

Can someone help me please

IgorLugansk [536]

A) 4(25-3y)+5y=9
100-7y=9
   91=7y
   y=13
(-14,13)

b) 14-x=x-10
   2x=24
   x=12
(12,14)

c) 4x=12
  (3,7)

d) 18.5x+10.4y=200
   x+y=130

7 0

3 years ago

95 divided by 4 and 34 divided by 2

MaRussiya [10]