Answer:
12x +8y +1 = 0
Step-by-step explanation:
You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:
3(x-(-3/4)) +2(y -1) = 0
3x +9/4 +2y -2 = 0 . . . . eliminate parentheses
3x +2y +1/4 = 0 . . . . . . . simplify
To eliminate the fraction, multiply by 4:
12x +8y +1 = 0
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<em>Comment on the equation</em>
The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.
The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.
Hope that it will help you
Answer:
5x -1
Step-by-step explanation:
(6x – 8) + (–x + 7)
Combine like terms
6x -x -8+7
5x -1
A-Infinite. If you distribute the 4 to the 2x+3 you get 8x+12-7=8x+5. This simplifies to 8x+5=8x+5 which means no matter what the value of x is, the two sides of the equation will be equal to each other.
Answer:
1/2
Step-by-step explanation:
went up one across two. rise over run y over x