The x intercept is where y=0. If y=0, then 3x=18, so x=6. The y intercept is where x=0. If x=0, then 2y=18, so y=9.
The equation, in point-slope form of the line that is parallel to the given line and passes through the point (-1, -1) is y + 1 = 3(x + 1).
<u>Solution:</u>
Given that, a line passes through (0, -3) and (2, 3).
We have to find the line equation which is parallel to above line and passes through (-1, -1).
Now, let us find the slope of the given line.
So, slope of given line is 3,
Then, slope of required line is also 3, as slopes of parallel lines are equal.
Then, required line equation in point – slope form is given as:
Hence, the line equation is y + 1 = 3(x + 1).
The answer will be C
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Define x :
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Let the two digit number be 10x + y.
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Construct Equation :
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<span>Four times the units digit is six less than twice the tens digit
</span>⇒ 4y = 2x - 6
⇒2y = x - 3
⇒ x = 2y + 3
<span>The number is nine less than three times the number obtained by reversing the digits.
</span>⇒10x + y = 3(10y + x) - 9
⇒ 10x + y = 30y + 3x - 9
⇒ 7x = 29y - 9
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Solve for x and y :
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x = 2y + 3 ----------------------- (1)
10x = 29y - 9 ------------------- (2)
Sub (1) into (2) :
7(2y + 3) = 29y - 9
14y + 21 = 29y - 9
15y = 30
y = 2 ------------------- Sub into (1)
x = 2(2) + 3
x = 7
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Find the number:
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Number = 10x + y = 10(2) + 7 = 27
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Answer: The 2-digit number is 27.
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The x-value of A would be 5 because it is on (5,3)
