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
How to solve your question
Your question is
4
+
1
=
2
−
5
4x+1=2x-5
4x+1=2x−5
Solve
1
Subtract
1
1
1
from both sides of the equation
2
Simplify
3
Subtract
2
2x
2x
from both sides of the equation
4
Simplify
5
Divide both sides of the equation by the same term
6
Simplify
Solution
=
−
3
Answer:
4 Terms.
Step-by-step explanation:
5x4
6x3
-2x
7 are all of the terms in the expression.
Answer:
x=4,y=−2
Step-by-step explanation:
1 Solve for x in -2y+x=8
x=8+2y
2 Substitute x=8+2y into 3y+2x=2
7y+16=2
3 Solve for y in 7y+16=2
y=-2
4 Substitute y=-2 into x=8+2y
x=4
5 Therefore,
x=4
y=−2
