First find the slope of the given line like this:

If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:

and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
The equation of the line is then the following:
To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>
1 pound equals 16 ounces
10 times 16 equals 160 ounces plus 1/2 a pound which is 8
168 ounces
Let length of the hypotenuse = 3x and length of given leg be x feet.
then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81
so x = 9 and 3x = 27
Hypotenuse is 27 feet and the leg equals 9 feet.
Answer:
-7/2
Step-by-step explanation:
y2-y1 / x2-x1
-5-10 / -2-4
-15 / -6
-7 / -2
= -7/2