Question

Graph the function rule y= -1/2x + 1/3

I'm stuck on this problem. Can someone explain

Answer 1

do u agree that the graph will be a straight line? :)

Answer 2

No

Answer 3

ok tell this->
is this equation a linear equation?

note-> a linear equation is an equation with degree 1 :)

Answer 4

Idk

Answer 5

ok this is how u check th degree of an equation->

Step 1-> look at the x and y terms of the equation
\[ \cal\Huge\color{red}{y}=-\frac{ 1 }{ 2 }\color{red}x+\frac{ 1 }{ 3 }\]
Step 2->look at the exponent of \(\color{red}{x}~and~\color{red}{y}\)

in this case the exponent is 1 for both x and y
the highest exponent is the degree of equation
in this case the highest exponent is 1 so the degree of equation is 1

and whenever the degree of equation is 1 it means its linear

and the graph of a linear equations is a straight line :)

now we will plot the line :)
ok?

Answer 6

Okay

Answer 7

I'm ready to continue

Answer 8

:) ok now its a line

there will be one and only 1 line passing through 2 points
agreed?

Answer 9

Yes

Answer 10

ok so if find 2 points which satisfy the equation they will lie on the line
and after finding those 2 points say \((x_1,y_1)\) and \((x_2,y_2)\) we will plot them on graph and will join them
like this-
and this is how we will get our line
ok?