Answer:
Explanation:
Step One: Find the slope of the given Line
2y - 9x = 10 Add 9x to both sides
2y - 9x + 9x = 9x + 10 Combine
2y = 9x + 10
y = 9/2 x + 5
The parallel line has a slope of 9/2
Step Two: Find the magnitude
sqrt(x^2 + y^2) = r You don't have a magnitude. Invent one, r
x^2 + y^2 = r^2 Both sides have been squared
Step Three: Find the change in y / x
y / x = 9/2
Step Four: Find the value of y
y/x = 9/2 Multiply both sides by x
y = 9/2 * x
Step Five: Solve for x
x^2 + y^2 = r^2
x^2 +(9/2x)^2 = r^2
x^2 + 81x^2 / 4 = r^2 Change the 1 to common denominator 1 = 4/4
4/4 x^2 + 81x^2/ 4 = r^2
85 x^2/ 4 = r^2 Multiply both sides by 4/85
4/85 * (85 / 4) x^2 = 4/85 r^2
x^2 = 4/85 r^2 Take the square root of both sides
x = +/- 2/sqrt(85) r Rationalize the denominator
x = (+/- 2 sqrt(85) ) / 85 *
Step Six: Solve for y
y = 9/2 x
y = 9/2 * 2 sqrt(85) / 85 Cancel the 2s
y = +/- 9* sqrt(85)/85
Answer
<2*sqrt(85)/85 , 9 sqrt(85)/85>
You can write the minus answer if you need it. I kind of suspect you won't.