How do you Find the Circumference of a Circle
How do you Find the Circumference of a Circle
It is the ratio of change in `y' when change in `x'. The slope of the line measures the steepness
of the given line. We are using two word "rise over run". In the slope of a line we have to
fol ow some of the steps for finding the slope of the line.
Now we wil see How to Find Slope of a Line,
Step1: - Simply we have to, find the difference of both the `x' and `y' coordinates and we have
to place both the coordinates in the ratio.
Step 2: - After that we have to put two points on a line. Because we are using two sets of
order pair both the coordinates having values `x' and `y' and you have to used a subscript to
distinguish between the two values `x' and `y'.
Step 3: - When a line has a negative slope then it goes down from left to right.
Step 4: - When a line has a positive slope then it goes up from left to right.
Step 5: - When a line has is vertical then the slope is undefined.
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The slope formula for given two points.
The two points are (x1, y1) and (x2, y2),
Then the slope of the line is denoted by `m'.
m = rise = change in y = y2 - y1 ,
run change in x x2 - x1
Where (x1 x2),
Example 1:- Find the slope of the straight line which passes through (9, 3) and (7, -8)?
Solution: - slope of the straight line which passes through (9, 3) and (7, -8).
Where the point as x1 = 9, y1 = 3 and x2 = 7, y2 = -8,
To find the slope `m' of the straight line which passes through (9, 3) and (7, -8), use the slope
formula. i.e.
Slope = m = y2 - y1- ;
x2 - x1-
On putting the value of x1, y1 and x2, y2 in the given slope formula.
m = -8 -3 ;
7 - 9
m = -11;
-2
m = -11 = 11/2,
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-2
After solving the equation we get the value of slope m = 11/2;
Example2: - Determine if the lines are paral el, perpendicular or neither
12x + 4y = 7 and 6x +5y = 8?
Solution:- When writing the first equation in the slope or we can say it as intercept form we
get.
12x + 4y = 7,
On further solving this equation we get
Firstly subtract 12 x on both side of the equation,
On subtraction 12x we get
12x + 4y - 12x = 7 -12x;
After subtracting the equation we get the new equation. i.e.
4y = -12x + 7;
Now second equation in intercept form-
6x +5y = 8,
Firstly subtracting 6x on both side of the equation we get
6x +5y - 6x = 8 - 6x;
On further solving we get
5y = -6x + 8,


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