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Over [174]
1 year ago
7

• Write the equation of the line that passes through the points (-7,0) and(-3,-9). Put your answer in fully reduced point-slope

form.
Mathematics
1 answer:
coldgirl [10]1 year ago
3 0

We want to calculate the line that passes through the points (-7,0) and (-3,-9). Recall that the equation of a line is

y=mx+b

where m is the slope and b is the y intercept. We can calculate first the slope and then find the value of b. To do so, recall that given points (a,b) and (c,d) the slope of the line that passes through them is given by the formula

m=\frac{(d\text{ -b)}}{(c\text{ -a)}}=\frac{b\text{ -d}}{a\text{ -c}}

so by taking a=-7, b=0, c=-3 and d=-9 we get

m=\frac{0\text{ - (-9)}}{\text{ -7 -( -3)}}=\frac{9}{\text{ -4}}=\text{ -}\frac{9}{4}

so our equation becomes

y=\text{ -}\frac{9}{4}x+b

so know we want this line to pass through the point (-7,0), so whenever x= -7 then y=0 so we have the equation

0=\text{ -}\frac{9}{4}(\text{ -7)+b}

or equivalently

0=\frac{63}{4}+b

so if we subtract 63/4 on both sides, we get

b=\text{ -}\frac{63}{4}

so our equation would be

y=\text{ -}\frac{9}{4}x\text{ -}\frac{63}{4}

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The price of a home is $120,000. The bank requires a 10% down payment and two points at the time of closing. The cost of the hom
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Answer:

The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.

I find that the monthly payment will be

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4 0
3 years ago
The difference between two numbers is 2790. If the smaller number is 3560, what is the other number?
8090 [49]

Answer:

the other number is 6350

Step-by-step explanation:

given data

difference between two numbers = 2790

smaller number = 3560

to find out

the other number

solution

we consider here larger number  = x

smaller number  = y

so

so difference between two number is express as

difference between two number = x - y    ....................1

put here value and we get another number i.e large number

2790 = x - 3560

solve it we get

x = 6350

so the other number is 6350

4 0
3 years ago
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