All categories

2 years ago

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Mathematics

1 answer:

Nataly [62]2 years ago

4 0

9514 1404 393

Answer:

y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

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

m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

y +1 = -3/8(x +5)

In slope-intercept form, this is ...

y = -3/8x -23/8

You might be interested in

The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use f

Murrr4er [49]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)$

So, the possible dimensions of the rectangle are (x+7) and (x-6).

Thank you.

3 0

3 years ago

Read 2 more answers

the large Square above has area 9 is divided into 9 smaller squares of equal area what is the length of how strong and bold

Kay [80]

If one square is divided into 9 smaller equal squares, then they have to be arranged in 3 lines of 3, that is 3 smaller equal squares per side of the original big square. That said, the area of the big square is equal to the multiplication of 3 small squares sides times 3 small squares sides, call x the length of the small squares.
So,
area = 9 = 3x*3x
9x^2 = 9
x^2 = 1
x = 1
therefore the smaller squares have sides of 1 unit

8 0

3 years ago

7x to the 2nd power when x=6

topjm [15]

Your answer would be 252 Hope this helps

4 0

2 years ago

Martha wants to build a rectangular wooden border around the perimeter of her children's playground. She can find the perimeter

lutik1710 [3]

Answer: The perimeter of Martha's wooden border = 44 feet.

Step-by-step explanation:

Given: The formula to find the perimeter = 2w + 2l. , where w = width and l = length

If l= 12 feet and w = 10 feet

Then, the perimeter of Martha's wooden border = 2(10)+2 (12) feet

The perimeter of Martha's wooden border = 20+24 feet

The perimeter of Martha's wooden border = 44 feet

Therefore, the perimeter of Martha's wooden border = 44 feet.

3 0

3 years ago

How do you make 'a' the subject of the formula: ab - cd = ac

xxTIMURxx [149]

First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides

ab - ac - cd = ac - ac
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a'
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done

3 0

3 years ago