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2 years ago

Which equation represents the line through (4, 5) and (0, 3)?

Mathematics

1 answer:

morpeh [17]2 years ago

4 0

Answer:

I dont know what options you have but all these are possible answers

y - 5 = 1/2 ( x - 4 )

y - 3 = 1/2 x

y = 1/2 x + 3

Step-by-step explanation:

In order to find the equation you need a slope, so you find the slope of both points by using the slope equstion

y2 - y1 / x2 - x1

and you would get :

$\frac{1}{2}$

now you plug it into the point slope formula which is y - y = m ( x - x )

and you choose one of the two sets of points that they provided in the question but you'll get the same answer either way.

You might be interested in

A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

What's the square root of 1/36?

stich3 [128]

0.27... repeating :)

6 0

2 years ago

F(x) = (x-3) (x+8) (x-11) What are the zeros of the polynomial?

aalyn [17]

hello :
F(x) = (x-3) (x+8) (x-11)
F(x) =0
x-3= 0 or x+8=0 or x-11 = 0
x=3 or x=-8 or x=11
the zeros of the polynomialare : 3 , -8 , 11

6 0

2 years ago

How do I find the slope if a line when y=4x+5

DaniilM [7]

Answer:

slope =4

Step-by-step explanation:

The slope intercept equation of a line is written in the form

y= mx+b

where m is the slope and b is the y intercept.

Since y =4x+5 is written is this form, we can see that 4 is the slope and 5 is the y intercept

3 0

3 years ago

Simplify negative 4 and 1 over 4 − negative 9 and 1 over 2.

Lorico [155]

5 1/4 is the answer hope this helps

8 0

2 years ago