First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
Answer:
Step-by-step explanation:
From the graph,
The initial red incline is a straight line passing through the origin.
So, a straight line passing through the origin is of the form:
Where, 'm' is the slope.
Now, the slope of a given as the change in y value to change in x value.
Consider the two end points of the red line (0, 0) and (4, 6).
The slope with two points 
on the line is given as:
Plug in 
. Therefore, slope is:
Hence, the equation of the initial red incline is:
Answer:
The domain of relation is {1,3,5}
It is not a function.
Step-by-step explanation:
Given the relation {(1, 4), (3, 6), (5, 4), (1, 8)}
We need to find the domain and determine if the given relation is function or not.
The domain of relation is {1,3,5}
But the given relation is not function because we have x=1 twice in the relation and the for the relation to be function the values of domain can't be repeated.
So, It is not a function.
Answer:
C
Step-by-step explanation:
y=mx+n m is slope if slopes are perpendicular m1.m2=-1
(2/3) . (-3/2) = -1
m1=2/3
m2=-3/2
y=(2/3)x-3 m=2/3 n= -3
y=(-3/2)x+2 m = -3/2 n = 2
