isuckatschool43
  • isuckatschool43
Can anyone help???
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
isuckatschool43
  • isuckatschool43
1 Attachment
isuckatschool43
  • isuckatschool43
@sleepyjess
isuckatschool43
  • isuckatschool43
k

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

johnweldon1993
  • johnweldon1993
We simply need to find the equations of both lines, since we are given 2 points in each case that is all we need Remember the equation of a line \(\large y = mx + b\) where the slope \(\large m = \frac{y_2 - y_1}{x_2 - x_1}\) and b *the y-intercept* can be found by using one of the points So, can you calculate the slope for the first line?
mathmale
  • mathmale
If you do this correctly, y ou'll end up with a system of linear equations in two variables. Which methods of solving such systems do you know? apply one of them to find your solution.
isuckatschool43
  • isuckatschool43
@johnweldon1993 the slope for the first line is 4/3
johnweldon1993
  • johnweldon1993
Not quite, can you show me what you did?
isuckatschool43
  • isuckatschool43
i dont really know. ive been working on this problem for 5 hours
johnweldon1993
  • johnweldon1993
Well dont stress out about it, math is easy once you can see why it works So the first line...goes through 2 points \(\large (-1,7)\) and \(\large (5,13)\) Let (-1,7) = (x1,y1) and (5,13) = (x2,y2) So for the slope equation we have \[\large m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{13 - 7}{5 - (-1)} = \frac{6}{6} = 1\] Right?
isuckatschool43
  • isuckatschool43
right
johnweldon1993
  • johnweldon1993
Let continue on with this line for now Pick one of the 2 points..either one which do you want to work with?
isuckatschool43
  • isuckatschool43
(5,13)
johnweldon1993
  • johnweldon1993
Alright, so remember the slope of a line \(\large y = mx + b\) We just found 'm' to be 1...so we have \[\large y = 1x + b\] Now lets work with the point you chose, (5,13) ...remember that looks like (x,y) so if we plug those coordinates in...we go from \(\large y = 1x + b\) to \(\large 13 = 5 + b\) If we solve for 'b' what would we get?
isuckatschool43
  • isuckatschool43
11?
johnweldon1993
  • johnweldon1993
Not quite the equation we have is \[\large 13 = 5 + b\] how would we solve for 'b' ?? 5 plus what number = 13?
isuckatschool43
  • isuckatschool43
8
johnweldon1993
  • johnweldon1993
There ya go...so we found that 'm' = 1 and we just found 'b' = 8 So the equation for the first line is \(\large y = x + 8\) make sense so far?
isuckatschool43
  • isuckatschool43
yes
johnweldon1993
  • johnweldon1993
Great! So now the second line...tell me what the slope would be?
isuckatschool43
  • isuckatschool43
-3
johnweldon1993
  • johnweldon1993
perfect! Can you solve for 'b' now as well?
isuckatschool43
  • isuckatschool43
11
johnweldon1993
  • johnweldon1993
Awesome! So that makes the second line \(\large y = -3x + 11\)
johnweldon1993
  • johnweldon1993
So now, we have 2 lines \(\large y = x + 8\) and \(\large y = -3x + 11\) We need to find where these 2 cross, how would we do that?
isuckatschool43
  • isuckatschool43
x+8 = -3x+11?
johnweldon1993
  • johnweldon1993
Exactly! the y-coordinate would be the same so we can set the 2 equations equal to each other So solving that for 'x' what do you get?
isuckatschool43
  • isuckatschool43
3/4
johnweldon1993
  • johnweldon1993
There ya go, I'll trust you can plug that into either equation and solve for 'y' as well, however there IS only 1 choice with x = 3/4
isuckatschool43
  • isuckatschool43
b
johnweldon1993
  • johnweldon1993
And you're all set!
isuckatschool43
  • isuckatschool43
thx

Looking for something else?

Not the answer you are looking for? Search for more explanations.