Question

Can anyone answer this? Thanks for help :)

Answer 1

`y = - (1)/(7) x - (5)/(2)` so the 4th option

Explanation:

So we know the link will be in slope-intercept form which is y=mx+b

It gives us the slope ("m") so we can fill in that part of the equation:

y =
`-(1)/(7)`x + b

The line has to pass through a certain point, so to find our b (the y-intercept of the line) we will plug in that point and solve for b:

`(1)/(2) = -(1)/(7)(-21) + b`

Now we solve:

`(1)/(2) = -(1)/(7)(-21) + b \\\\ (1)/(2) = 3 + b\\\\\\-(5)/(2) = b`

Now we have our b, we will plug it into the part of the equation we have, and bam, there is our answer!

`y = - (1)/(7) x - (5)/(2)`