At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
i dont understand how to change that table into an equation. i know that the last numbers of the equation is - 1 because 0 times any number is 0 and then you get -1 because of you subtract 1
To convert any table of data that represents only "linear function" then you have to know the general formula of any line which is known to be : \[y/f(x) = mx + c\] where m is the slope of that line while c is known as y-intercept .. the part that the line intercepts y-axis when x = 0 So now it is obvious that f(x) has the form mx+c
a linear equation is of the form y = mx + b where m is the slope and b is the y value when x = 0 in the form of a table you are given the x and corresponding y value
so do i plug them into the equation and solve?
the slope of a line is the change in y divided by the corresponding change in x
To get m U choose any two points from the given table and get the slope using the slope formula : slope = y2-y1 / x2-x1
so if i would use 1,7 and -1,9 would that work?
And to get c U have to plug with any point with the values of x , y and m then you have an equation of one unknown which is c , then solve to get c and you then have the equation Let me know if U got it :)
Yup, just choose "any" two points
so i would get -2 over 2?
so the slope is -2.
and i plug in the slope to find c
actually this question does not want the equation for f(x) it only asks to compare the slopes
the higher the number the steeper the slope
slope is not 2 btw :)
thank you for being patient with me
no problem, feel free to ask anytime :D
i understand that but that equation you gave for me to find the slope is hard to understand. i had chosen two points and had gotten the wrong slope
you made a mistake with the point used should be -9 try again
oh wait i got it. its 8
:0 thats what i did
thank you ver much!
so you still need to answer the question hope my drawing will help
yeah i did. Thanks!
you are welcome