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Mrrafil [7]
3 years ago
5

What is the point-slope equation of the line with a slope 4/3 that goes through the point (-4,6)?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
8 0

Answer:

The point-slope form of the equation is y - 6 = 4/3(x + 4), which is answer B.

Step-by-step explanation:

In order to find the point-slope form of any equation, start with the base form of the equation.

y - y1 = m(x - x1)

Now input the slope given as m, and the point in for x1 and y1.

y - y1 = m(x - x1)

y - 6 = 4/3(x - -4)

y - 6 = 4/3(x + 4)

Sever21 [200]3 years ago
3 0

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})~\hspace{10em}slope = m\implies \cfrac{4}{3}\\\\\\\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-6=\cfrac{4}{3}[x-(-4)]\implies y-6=\cfrac{4}{3}(x+4)

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Step-by-step explanation:

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If ƒ(x ) = 3x + 1 and ƒ -1 = , then ƒ -1(7) =
Elden [556K]
F(x) = 3x + 1

let f(x) = y

y = 3x + 1

y - 1 = 3x

3x = y - 1

x = (y - 1)/3

From y = f(x),  x = f⁻¹(y) 

<span>x = (y - 1)/3
</span>
 f⁻¹(y)  = (y - 1)/3

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</span>f⁻¹(7)<span> = 2</span>
6 0
2 years ago
On a coordinate grid, Ming's house is located 2 blocks to the right and blocks up from (0. 0). Joe's house is located 3 blocks t
kolbaska11 [484]
If o<span>n a coordinate grid, Ming's house is located 2 blocks to the right and (I suppose also 2) blocks up from (0. 0), then the ordered pair that describes the location of Ming's house is (2,2) (moving right 2 units from some point you have to add 2 units to the x-coordinate of the point from which you are moving and moving up 2 units from this point you have to add 2 units to y-coordinate of the point from which you are moving up).
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If Joe's house is located 3 blocks to the right and 2 blocks down from Ming's house, then the ordered pair that describes the location of Ming's house is (2+3,2-2), that is (5,0) <span><span>(moving right 3 units from some point you have to add 3 units to the x-coordinate of the point from which you are moving and moving down 2 units from the point you have to substract 2 units from y-coordinate of the point from which you are moving down)</span>.</span>


3 0
3 years ago
It takes Bruce 12 h to complete his training. It takes Oliver approximately 2 days, 2 h, and 15 min to complete his training. Ho
Bond [772]

Answer:

Oliver completed his training work in 50.25 hours

Step-by-step explanation:

we know that

1\ day= 24\ hours

1\ hour=60\ minutes

we have

2\ days, 2\ h,\ and\ 15\ min

<u><em>Convert days to hours</em></u>

2\ days=2(24)=48\ hours

<u><em>Convert minutes to hour</em></u>

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so

2\ days, 2\ h,\ and\ 15\ min=(48)+(2)+(0.25)=50.25\ h

therefore

Oliver completed his training work in 50.25 hours

4 0
3 years ago
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