write a linear equation that has a slope of 1/2 and a y-intercept at the origin. (y=1/2x) (y=0x+1/2) (y=1/2x+1/2) (y=-1/2x)​

Respuesta :

Answer:

The linear equation with given slope and y-intercept is:

Option 1: [tex]y = \frac{1}{2}x[/tex]

Step-by-step explanation:

The slope-intercept form of equation is given by:

[tex]y = mx+b[/tex]

Here

m is the slope of the line and b is the y-intercept.

Given that

Slope of line is 1/2 so m = 1/2

And y-intercept is on origin so b = 0

Putting the values we get

[tex]y = \frac{1}{2}x+0\\y = \frac{1}{2}x[/tex]

Hence,

The linear equation with given slope and y-intercept is:

Option 1: [tex]y = \frac{1}{2}x[/tex]