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3 years ago

What is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1)?

1 answer:

Elena-2011 [213]3 years ago

5 0

For an equation with slope m and point (x1,y1)
the equation is
y-y1=m(x-x1)

slope=(y2-y1)/(x2-x1)
(x,y)
(7,5)
(-4,-1)

slope=(-1-5)/(-4-7)=(-6)/(-11)=6/11

point is (7,5) or (-4,-1)
equation is

y-5=(6/11)(x-7) and
y+1=(6/11)(x+4)

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Write a linear function f with the values f(2) = -6 and f(0) = 2.

lana [24]

Answer:

fhf

Step-by-step explanation:

hfh

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3 years ago

Solve the system. find x,y, and z please show all steps x-y+z=1 x+y+3z=-3 2x-y+2z=0

Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

$x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)$

Adding eq(1) and eq(2)

$x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\$

Adding eq(2) and eq(3)

$x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)$

Multiplying eq(4) by 3 and eq(5) by 2

$6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0$

So, value of z =0

Putting value of z in eq(4)

$2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1$

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

$x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2$

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

#learnwithBrainly

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3 years ago

Sams high school played 44 soccer games this year he attended 18 games how many ga

storchak [24]

Answer:

assuming that the question says "how many games did he not attend" it would be 26

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3 years ago

{c(1) = 3/16 {c(n)=c(n−1)⋅4 what is the 3rd term in this sequence?

mote1985 [20]

Answer:

$\large\boxed{c(3)=3}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}c(1)=\dfrac{3}{16}\\\\c(n)=c(n-1)\cdot 4\end{array}\right$

Put n = 2 and next n = 3 to the recursive formula:

$c(2)=c(2-1)\cdot4=c(1)\cdot4\to c(2)=\dfrac{3}{16}\cdot4=\dfrac{3}{4}\\\\c(3)=c(3-1)\cdot4=c(2)\cdot4\to c(3)=\dfrac{3}{4}\cdot4=3$

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3 years ago

Is -x+4y=-2 a direct variation?

In-s [12.5K]

Answer:

Step-by-step explanation:

Direct variation: two variables, one variable is a constant multiple of another variable

y = k x .... k constant

-x+4y=-2

4y = x - 2

y = 1/4 x -1/2 ..... y = k x + b y is not a simple multiple of x

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3 years ago