Question

A tutorial for @mikala1

Answer 1

\[\Huge{\bf{Distance\ Between\ Two\ Points:}}\] Let (x1,y1) and (x2,y2) be any two points.Then the distance between the two points is given by:

\[D=\sqrt{(x _{2}-x _{1)^2+(y _{2}-y _{1})^2}}\]


**************************Lets take an example*****************************************
Example 1) Find the distance between the points (4,5) and (2,1)

Solution :

(x1,y1)=(4,5)
and
(x2,y2)=(2,1)


Lets Use the formula,
\[D=\sqrt{(x _{2}-x _{1)^2+(y _{2}-y _{1})^2}}\]
\[D=\sqrt{(2-4)^2+(1-5)^2}\]
\[D=\sqrt{(-2)^2+(-4)^2}\]
\[D=\sqrt{4+16}\]
\[D=\sqrt{20}\]

Answer 2

\[\Huge{\bf{LINEAR\ FUNCTION:}}\]
A function described by the equation

\[y=mx+c \] or \[f(x)=mx+c \]

is called a linear function.

Where,

m=slope
c=y-intercept

Note:The y-intercept is the value of y when x=0.

Answer 3

\[\Huge{\bf{SLOPE :}}\]Let (x1,y1) and (x2,y2) be the two distinct points on a straight line such that x1is not equal to x2,then

\[m=y_2-y_1/x_2-x_1\]

Answer 4

Lets me show you an example.