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2 years ago

Find the equation of the line shown.

Mathematics

2 answers:

Ymorist [56]2 years ago

3 0

Answer:

y= -2x+9

Step-by-step explanation:

The equation will be written this way :

y= m*x+c

m is the slope
c is a constant
m =( f(4)-f(2))/(4-2)=(1-5)/2= -4/2 = -2
y = -2x+c
replace x and y by the coordinates of a point to get c
1= -2*4+c
c = 9

y = -2x+9

marin [14]2 years ago

3 0

Answer:

y=-9/4.5+9

Step-by-step explanation:

To find the equation you do y=mx+b which means y= slope + y-intercept.

To get the slop you do rise over run which in this situation is 9/4.5. And the y-intercept is when the line touches the y-axis and in this problem it is 9. So the answer is y=-9/4.5+9

You might be interested in

Find the length of the hypotenuse. 45 degree triangle 3 square root of <br><br> 2

stira [4]

Answer:

Hypotenuse = 6

Step-by-step explanation:

Find attached diagram used in solving the question.

The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent

Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = (3√2)² + (3√2)²

Hypotenuse ² = 9(2)+9(2) = 18+18

Hypotenuse ² = 36

Hypotenuse = √36

Hypotenuse = 6

8 0

2 years ago

Explain why a change from 20 to 40 is a 100% increase, but a change from 40 to 20 is a 50% decrease.

Rainbow [258]

Answer:

Because 20 has to be doubled to become 40. While 40 is twice as much as 20 so you just divide 40 by 20 to get 50%.

Explanation:

20 x 20 = 40 = 100%

40 / 20 = 50%

4 0

2 years ago

What is the period of the function y = 2 sinx

DanielleElmas [232]

Answer:

The period is 360° ( in radians, the period is 2π)

Step-by-step explanation:

For a sine/cosine (sinusoidal) function in the form

y = ASin(Bx-C) + D, we can say

A is the amplitude

360/B is the period

C is the phase shift

D is the vertical translation

<em>The function given is y = 2Sinx</em>

To find the period, we need 360/B. Since "B" is just "1", the period is

360/1 = 360

5 0

2 years ago

Read 2 more answers

What is 73% of 15 cuz i dont know what the answer is

Trava [24]

Answer:

10.95 (if you need to round 11)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which of the following expressions is a factor of the polynomial x 2 +3/2x-1

Elodia [21]

Answer:

$\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }$

Step-by-step explanation:

Hello,

let's solve

$x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\$

$\Delta=b^2-4ac=9+4*2*2=9+16=25$

There are two solutions

$x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}$

And

$x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}$

So we can write

$x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

2 years ago