(1,-2) m=3 has to be translated to slope intercept form please help

Mathematics

2 answers:

777dan777 [17]3 years ago

8 0

Answer:

y = 3x-1

Step-by-step explanation:

So basically you have to translate this into slope intercept form which is y=mx+b. You plug in m and b thats how you get it.

levacccp [35]3 years ago

5 0

Y = 3x - 5

Basically, all you do is plug in the values into the equation y=mx+b.

x=1
y=-2
m=3

-2 = 3(1) +b
-2 = 3 + b
-5 = b

So, the equation is y = 3x - 5. You can check by plugging just the x value.

y = 3(1) - 5
y = 3 - 5
y = -2

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Mr. wilsons rectangular garden has an area of 27 square feet. if the length of hus garden is three times the width what are the

Thepotemich [5.8K]

Answer:

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Step-by-step explanation:

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2 years ago

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allochka39001 [22]

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3 years ago

Please help! A-level maths.

astra-53 [7]

$x+y=k\implies y=k-x$

Substitute this into the parabolic equation,

$k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0$

We're told the line $x+y=k$ intersects $C$ twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

$(-7)^2-4(k+3)=49-4(k+3)>0\implies k$

We can tell from the quadratic equation that $C$ has its vertex at the point (3, 6). Also, note that

$-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5$

and

$-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6$

so the furthest to the right that $C$ extends is the point (5, 2). The line $x+y=k$ passes through this point for $2+5=k\implies k=7$ . For any value of $k$ , the line $x+y=k$ passes through $C$ either only once, or not at all.