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3 years ago

Write an equation in point slope form that passed through the point (5,6) and slope of -2

Mathematics

2 answers:

vodka [1.7K]3 years ago

8 0

Answer:

y=-2x+16

Step-by-step explanation:

since you are given the slope, you can plug it into the equation y=mx+b where m= slope and b= y intercept

you now have y=-2x+b

to find b, you have to plug in the coordinate you are given into the equation

6=-2(5)+b and solve for b

6=-10+b

b=16

since you now have both the slope & y intercept, you can plug them both back into the original equation, y=mx+b and you get

y=-2x+16

if you have any questions, feel free to ask :)

notka56 [123]3 years ago

6 0

Answer:

y - 6 = -2(x - 5).

Step-by-step explanation:

Point slope form:

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

Here m = -2, x1 = 5 and y1 = 6, so we have:

y - 6 = -2(x - 5).

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Y varies directly as x when x= 3 and y =12 find y when x =12

andrew-mc [135]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=3\\
y=12
\end{cases}\implies 12=k3\implies \cfrac{12}{3}=k\implies 4=k
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thus\qquad \boxed{y=4x}
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\textit{when x = 12, what is \underline{y}?}\qquad \qquad y=4(12)$

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3 years ago

Which is the union of the two sets D= {0, 10, 12, 18, 19} and E= {18, 19}

Cloud [144]

Answer:

DUE= {0,10,12,18,19}

Step-by-step explanation:

The union of two sets is a set which contains all the elements of both the sets. thus DUE= {0,10,12,18,19}

5 0

3 years ago

16.A company sells calculators for $35 each. Businesses

Olenka [21]

Answer: $3550 or letter: I

Step-by-step explanation: 35*100= $3,500 + $50 (tax)= $3,550 or in your case it is closest to letter i

8 0

2 years ago

Ana wrote four statements to describe circle S. Statements: AB is a diameter. ST , SP and SQ are radii. SQ = 12 cm PQ = 12 cm Ar

wel

Two of the four statements that Ana wrote are correct. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.

8 0

2 years ago

What is the equation of the quadratic graph with a focus of (2, - 2) and a directrix of y = 0?

Talja [164]

Answer:

f(x) = -(1/4)(x - 2)^2 - 1

Step-by-step explanation:

Take any point (x,y) on the graph.

The distance of this point from the focus is equal to the distance of the point from the directrix.

So √ [(x - 2)^2 + (y + 2)^2 ] = y

(x - 2)^2 + (y + 2)^2 = y^2

(x - 2)^2 + y^2 + 4y + 4 = y^2

(x - 2)^2 + 4y + 4 = 0

4y = -(x - 2)^2 - 4

y = -(1/4)(x - 2)^2 - 1 (answer).

4 0

2 years ago