<span>Conisdering that the points labeld are (-4,-1) and (1.5, 2) this is how you find the equation of the line:
slope, m = (- 1 - 2) / ( - 4 - 1.5) = - 3 / - 5.5 = 6/11
Equation: [ y - (- 1) ] = (6/11) [ x - (-4)]
=> 11(y + 1) = 6(x + 4)
=> 11y + 11 = 6x + 24
=> 6x - 11 y + 13 = 0
=> 6x - 11y = - 13 <----- answer
</span>
Hello again!
So just like in the last problem you would do the same here.
Solve for 3y + 6 = 3
Subtract 6 from both sides.
3y = -3
Divide by 3.
y = -1
Now plug it into 8y + 2.
8(-1) + 2 = ?
-8 + 2 = ?
= -6
I hope this helps love! :)
See the attached picture:
Answer:
![-\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Slope/Gradient = ![\frac{y1-y2}{x1-x2}](https://tex.z-dn.net/?f=%5Cfrac%7By1-y2%7D%7Bx1-x2%7D)
P = (-8 , 3) (x1, y1)
Q = (-6 , 2) (x2, y2)
Slope =
=
=
= ![-\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D)
Answer:
132 students
Step-by-step explanation:
Mr Smith offers to take extra help session for students after school
The day after the help session 11 of his students were talking and found out that only 2 had stayed up for the help session
= 2/11
There were actually a total number of 24 students that stayed
We are asked to find the number of student that Mr Smith teaches throughout the day
Let x represent the number of students that were taught during the day
Therefore, the number of student that Mr Smith teaches during the day can be calculated as follows
2/11=24/x
Cross multiply both sides
2 × x = 24 × 11
2x= 264
Divide both sides by 2
2x/2=264/2
x= 132
Hence Mr Smith teaches 132 students during the day.