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]