The first thing we must do for this case is to find the equation of the line.
![y-yo = m (x-xo) ](https://tex.z-dn.net/?f=y-yo%20%3D%20m%20%28x-xo%29%0A)
We have then:
![m = (y2 - y1) / (x2-x1) m = (-3 - 0) / (2-8) m = 1/2](https://tex.z-dn.net/?f=m%20%3D%20%28y2%20-%20y1%29%20%2F%20%28x2-x1%29%0A%0Am%20%3D%20%28-3%20-%200%29%20%2F%20%282-8%29%0A%0Am%20%3D%201%2F2)
We choose an ordered pair:
![(xo, yo) = (8, 0) ](https://tex.z-dn.net/?f=%28xo%2C%20yo%29%20%3D%20%288%2C%200%29%0A)
Substituting values:
From here we conclude:
Intersection with y:
We evaluate x = 0 in the function:
Slope of the line:
Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
![-5 = (1/2) (- 2) - 4 -5 = -1 - 4 -5 = - 5](https://tex.z-dn.net/?f=-5%20%3D%20%281%2F2%29%20%28-%202%29%20-%204%0A%0A-5%20%3D%20-1%20-%204%0A%0A-5%20%3D%20-%205)
The equation is satisfied.
Point (8, 0):
It is part of the table, therefore belongs to the line.
Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.
Answer:
perp. : 1/3= m
y + 8 = 1/3(x -4): answer is c
y + 24/3 = (1/3)x - 4/3
y = (1/3)x - 28/3
Step-by-step explanation:
answer is c
3x - x + 8 + 5x - 2 = 10
combine like terms on the left, then add or subtract as asked
(3x - x + 5x) + (8 - 2) = 10
7x + 6 = 10
subtract 6 from both sides
7x = 4
divide both sides by 7
x = 4/7
Hope this helps! :)