Question

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

Answer 1

Answer:

$y=\frac{2}{3}x-2$

Step-by-step 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:

$y=mx+b\\y=\frac{2}{3}x+b$

Now we find the y-intercept to find b:

$y=mx+b\\-6=\frac{2}{3}(-6)+b\\-6=-4+b\\(+4)-6=-4+b(+4)\\-2=b$

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

SO we now know that the equation is $y=\frac{2}{3} x-2$

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):

$y=mx+b\\y=\frac{2}{3}x-2\\ 2=\frac{2}{3}(6)-2\\2=4-2\\2=2$

And now we're done.