Answer: y = 4x/3 - 5/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (y2 - y1)/(x2 - x1)
The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is
m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of line L2 passing through the midpoint, M is 4/3
The formula determining the midpoint of a line is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]
= (0, - 5/2]
This means that the y intercept of line L2 is - 5/2
The equation of L2 becomes
y = 4x/3 - 5/2
Answer: is a straight line that passes through the orgin hope it helps
Step-by-step explanation:
Simplify both sides of the equation
3x+1/10 = x+ -1/7
Subtract x from both sides
3x+1/10 -x = x+ -1/7 -x
2x+1/10 = -1/7
Subtract 1/10 from both sides
2x+1/10 - 1/10 = -1/7 -1/10
2x= -17/70
Divide both sides by 2
2x/2 = -17/70/2
x= -17/140
decimal x will equal -0.121
Ask any questions you want and I hope that's help !
we have
![r(x) = |x- 2|- 1](https://tex.z-dn.net/?f=%20r%28x%29%20%3D%20%7Cx-%202%7C-%201%20)
using a graph tool
see the attached figure
So
1) the domain of the function is all real numbers-----> interval (-∞,∞)
2) the range of the function is the interval [-1, ∞)
3) the function decrease on the interval (-∞,2)
4) the function increase on the interval (2,∞)
5) the function has two x-intercepts-----> (1,0) and (3,0)
6) the function has one y-intercept-----> (0,1)
therefore
the graph in the attached figure