How to find Slope of parallel lines

Slope is used to describe the steepness, incline, gradient, or grade of a straight line. A higher slope value indicates a steeper incline. The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line or pair of straight lines. It is also always the same thing as how many rises in one run.The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.The larger the absolute value of a slope, the steeper the line. A horizontal line has slope 0, a 45° rising line has a slope of +1, and a 45° falling line has a slope of -1. A vertical line's point slope form
is undefined meaning it has "no slope."

Question:-

How to find the slope of the line parallel to x+2y=10

Answer:-

Point to remember:- Parallel lines will have same slope
So we just have to find the slope of the given line.

x+2y = 10

subtract 'x' on both sides

2y = -x+10

divide by 2 on both sides

y = -x/2 + 5

So the slope is -1/2 for both the lines.

same way,we can also find all points having an x-coordinate of 2 whose distance from the point 2 1 is 5

Question to Find Arc Length of a Circle

Topic : Arc Length

Question : If a Circle has 11cm radius, Find the Length of an arc in the Circle.

Solution :

We have a Formula,
measure of arc/360 = arc length/circumference

90/360 = arc length/2πr = arc length/2π(11)

90/360 = arc length/22π


Hence the arc length = 22π * 90/360 = 11π/2 = 5.5π cm