Question

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)​

Answer 1

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

Option 1:
`y = (1)/(2)x`

Explanation:

The slope-intercept form of equation is given by:

`y = mx+b`

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

`y = (1)/(2)x+0\\y = (1)/(2)x`

Hence,

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

Option 1:
`y = (1)/(2)x`