Question

Given the equation y − 3 = 1/5(x + 6) in point-slope form, how do you identify the equation of the same line in slope-intercept form?

Answer 1

Change the equation to the form of `y=mx+b` to arrive at
`y=1/5x+21/5`

Explanation:

We're changing the form of the equation from point-slope to slope-intercept. To do this, first solve for y:

`y-3=1/5(x+6)`
`y=1/5(x+6)+3`

Next we're going to change the format of the right side of the equation so that it has the form of `mx+b` where m is the slope and b is the y-intercept. To do that, first distribute the 1/5:

`y=1/5x+6/5+3`

Since there is only the one x term, `m=1/5`. So now we just need to clean up the y-intercept:

`y=1/5x+6/5+3*5/5`

`y=1/5x+6/5+15/5`

`y=1/5x+21/5`

And that's the answer in the format of `y=mx+b`