9514 1404 393
Answer:
- 6x +y = -6
- 6x -y = 8
- 5x +y = 13
Step-by-step explanation:
To rewrite these equations from point-slope form to standard form, you can do the following:
- eliminate parentheses
- subtract the x-term
- subtract the constant on the left
- if the coefficient of x is negative, multiply by -1
Of course, any operation you do must be done <em>to both sides of the equation</em>.
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1. y -6 = -6(x +2)
y -6 = -6x -12 . . . . . eliminate parentheses
6x +y -6 = -12 . . . . . add 6x
6x +y = -6 . . . . . . . . add 6
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2. y +2 = 6(x -1)
y +2 = 6x -6
-6x +y +2 = -6
-6x +y = -8
6x -y = 8 . . . . . . . . multiply by -1
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3. y -3 = -5(x -2)
y -3 = -5x +10
5x +y -3 = 10
5x +y = 13
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<em>Additional comment</em>
The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.
Answer:
10x-40
Step-by-step explanation:
5 times 2x minus 40 works because of the distributive property
<span>To solve this, use the point - slope form formula
</span>Point D (-4, 2) and Point E (-1, 5)
<span>y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)
y - 2 = [(5 - 2/-1 -(-4))](x + 4)
y - 2 = x + 4
y = x + 6
To answer this, input the values of points D or E into the equation and make sure that they answer the equation in part A.
</span>y = x + 6
2 = -4 + 6 = -2 so it satisfies the solution
Answer:
48x - 40y +24
Step-by-step explanation:
Answer:
1 2/6 is the correct answer
Step-by-step explanation:
in 2 1/6 + -5/6 what you do is you can turn the plus sign into a minus sign and make -5/6 5/6 so now the problem is 2 1/6 - 5/6 and the awnser to that is 1 2/6
