What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

1 answer:

5 0

First you differentiate to find the gradient

dy/dx = (6 - - 8) / (-4 - 7)
= 14 / -11
= - 14/11

Then you use this formula
y - y1 = m (x - x1)

y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)

y - 6 = -14/11 (x - - 4)
y - 6 = -14/11x - 56/11
y = -14/11x + 10/11

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2 years ago

What number does x stand for in this equation?<br><br> -7x + 6=27

AURORKA [14]

⓵ You need to solve the left side first in order to isolate the × and find it’s value :

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-6 -6
↓

-7× = 21
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↓

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If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!

I hope this helped, if there’s anything let me know! ☻

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From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2

Crazy boy [7]

Answer:

4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

= (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

= 4x^2 +9xy +6y^2

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2 years ago