What is the slope for 2x-1=-3y
1 answer:
Answer:
The slope is -2/3
Step-by-step explanation:
It is recommended to solve for 'y' variable the equation given, this means, leave the 'y' variable alone in one side of the equation. Doing that, leaves us the following:
This is the general equation of a line: where 'm' is the slope (by comparison), thus We have the desired result
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Answer
Step-by-step explanation
You would use the pythagorean theorem for this problem. The point on the y-axis is 5 away from (0,0). The point on the x-axis is 3 away. You would square these, leading from
5+3 to
25+9=
Answer is .
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have
square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
I believe it is this one here. If you have any questionable let me know
