Question

the point of the form (p/2, p) always lies on the graph of the equation​

Answer 1

Answer: 2y = x

You can put any value of p like

If you put p = 2

Then point will be (1,2)

Which is also lies on the line. y = 2x

I hope it helps u.

THANK U!

Answer 2

Answer:

point (p/2,p) is a point in the graph of equation

y={2x; x in R }

Step-by-step explanation:

$(x,y) =(p/2,p) \\ such \: that \: x \: and \\ \: y \: are \: real \: numbers \: \\ implies \: \\ if \: x=p/2 \\ then\: y=p\: that\: is, \\ y=2×p/2=p=2×x \\ therefore, \: y=2x.$

Hence,we can conclude that (x,y)=(p/2,p) is a point in the graph of the linear equation y=2x , for all x in real numbers.

Definition

the point on the graph of y=2x if

$x=0 \\ \: then \: y=0 \\ x= -1 ,y= -2 \\ x=1 ,y=2 \\ x= -½, y= -1 \\ x=½, y=1 \\ x=a, y=2a \\ \: (such \: that \: a \: real \: number) \: \\ x=a/2 ,y= a.$

y=2x is line passing through origin(0,0) with slope m=2,and it has no x intercept and y intercept .

we know that

Equation of a line through origin

set of all points (x,y) such that y= mx

were ,x is a real number ,m=slope

with no x and y intercepts.

Equation of a line

Equation of a line set of all points (x,y) such that y=mx +c

were ,x is a real number, m=slope

and has x intercept and y intercept.

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