Question

What is the equation of a line, in Slope Intercept Form, with a slope of 1/2 and passes through the point (4, 0)?

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

We have the slope
`m=(1)/(2)\to y=(1)/(2)x+b`

and point (4, 0). Substitute:

`0=(1)/(2)(4)+b`

`0=2+b` subtract 2 from both sides

`-2=b\to b=-2`

Answer:
`y=(1)/(2)x-2`