Answer:
option b
reflection over the line y = x
Step-by-step explanation:
Matrix for every option is mention below
a)
rotation of 90° counter clockwise about the origin
0 -1
1 0
b)
rotation of 180° about the origin
-1 0
0 -1
c)
for a reflection in the line y=x
0 1
1 0
d)
translation 1 unit left and 1 unit up
1 0
0 1
Answer:
0.18641136
Step-by-step explanation:
Formula for an approximate result, divide the length value by 1.60934
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
Answer:
-25.44
Step-by-step explanation:
