Question

Help please 20 pts. use the given information to write the equation of each line.

Answer 1

`y=(2)/(3)x-2`

Explanation:

And you can find the slope by using the slope(rise over run) formula:

I used points (-6,-6) and (-3,-4) and got the slope which is 2/3.

now you can plug in the values you have to get the equation of this table and graph:

`y=mx+b\\y=(2)/(3)x+b`

Now we find the y-intercept to find b:

`y=mx+b\\-6=(2)/(3)(-6)+b\\-6=-4+b\\(+4)-6=-4+b(+4)\\-2=b`

Now we know the y-intercept is at the point (0,-2).

SO we now know that the equation is
`y=(2)/(3) x-2`

And we can check if our answer is correct by plugging in one of the points on the table, lets use the point (6,2):

`y=mx+b\\y=(2)/(3)x-2\\ 2=(2)/(3)(6)-2\\2=4-2\\2=2`

And now we're done.