Write an equation of the line that passes through the given points. (-2,7) and (1,-2)

1 answer:

7 0

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-2,7),\ (1,-2)\ into\ equation\\\\ \left \{ {{7=-2a+b} \atop {-2=a+b\ \ |:-1}} \right. 
\\\\ \left \{ {{7=-2a+b} \atop {2=-a-b}} \right. \\+-----\\\\9=-3a\ \ \ |:-3\\a=-3\\\\-2=-3+b\\-2+3=b\\b=1\\\\y=-3x+1$

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Which statements about opposites are true? 39 POINTS!

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3 years ago

The numeral 16 is a _____ of 4 because it is the product of a given number sbd any whole number

S_A_V [24]

Answer:

perfect square

Step-by-step explanation:

A perfect square is a number multiplied by itself:

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2 years ago

2g + h =2 g -h= -5 find g and h step by step explanation

wel

Answer:

Step-by-step explanation:

2g + h = 2 --------------(I)

g - h = -5------------(II)

g = -5 + h

Plugin g = -5 + h in equation (I)

2(-5 + h) + h = 2 {Distributive property:a(b+c) = a*b +a*c}

(-5)*2 + h *2 + h= 2

-10 + 2h + h = 2

3h = 2 + 10

3h = 12

h = 12/3

h = 4

Substitute h= 6 in equation (I)

2g + 4 = 2

2g = 2 - 4

2g = -2

g = -2/2

g = -1

6 0

2 years ago

James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?

Tpy6a [65]

Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

$5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9$

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.

7 0

2 years ago

Please tell me how you got it.

yawa3891 [41]

Answer-

$-70\%$