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2 years ago

Write the equation of the line that passes through the given points (0,-4) and (-7,-10

Mathematics

2 answers:

Tasya [4]2 years ago

5 0

Step 1: Find the slope

Point 1 = (0, -4)

Point 2 = (-7, -10)

m = (-10 - - 4) / (-7 - 0) = (-10 + 4) / (-7 - 0) = -6 / -7 = 6/7

m = 6/7

Step 2: Find the y-intercept

Slope-Intercept Form: y = mx + b

-m is the slope

-b is the y-intercept

---Plug in any of the given points as well as the slope into slope-intercept form and solve for b

Point: (-7, -10)

-10 = (6/7)(-7) + b

-10 = -6 + b

b = -4

Step 3: Form the equation

Slope-Intercept Form: y = mx + b

m = 6/7

b = -4

y = 6/7x - 4

Hope this helps!! :)

Anettt [7]2 years ago

4 0

Answer:

14/-7

Step-by-step explanation:

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Read 2 more answers

Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

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Answer:

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Step-by-step explanation:

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4/5 cup of chocolate chips is used to make 7 granola bars. How many granola bars can be made with 4 cups of chocolate chips?

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I hope this helps!
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