Question

What is the equation of a line that has a slope of -1/4 and passed through the point ( -3, -2 )

Answer 1

The slope-intercept form of line:

`y=mx+b`

We have the slope
`m=-(1)/(4)\to y=-(1)/(4)x+b` and the point (-3, -2). Substitute:

`-2=-(1)/(4)(-3)+b`

`-2=(3)/(4)+b` subtract 3/4 from both sides

`-2(3)/(4)=b\to b=-(11)/(4)`

Answer:
`y=-(1)/(4)x-(11)/(4)`