Question

Write the equation of the line in slope-intercept form with slope = 1/4 and point (-8, 6)

Answer 1

Explanation:

This is the standard linear equation:

`y=mx+b`

`m` represents slope and
`b` represents the y-intercept. In a finished equation,
`x` and
`y` are left as variables.
`x` and
`y` represent any given point in the function. In this case, one of the given coordinates is
`(-8, 6)`, and we can use this by using
`-8` as
`x` and
`6` as
`y`. After plugging in known variable, the equation becomes this:

`6 = (1)/(4) ( - 8) + b`

This simplifies to:

`6 = - 2 + b`

Then to:

`4=b`.

After plugging in slope and y-intercept, the finished equation is:

`y = (1)/(4) x + 4`