Answer:
180°
Step-by-step explanation: We are given the co-ordinates of ΔDEF as D(-1,6), E(1,3) and F(6,3).
Now, after rotation the co-ordinates of the new triangle D'E'F' are D'(1,-6), E'(-1,-3) and F'(-6,-3).
As we see that, the co-ordinates of triangle DEF are multiplied by negative sign to obtain the co-ordinates of triangle D'E'F'.
This means that, the triangle DEF is rotated 180° to form triangle D'E'F' because rotating 180 changes (x,y) to (-x,-y).
So, the rotation applied is 180° to ΔDEF.
Change -3y + 12 = -8x to the form y = mx + b
Subtract 12 on both sides
-3y = -8x - 12
Divide by -3 on both sides
y = 8/3 + 4
Change original equation to Ax + By = C
-3y + 12 = -8x
Switch -8x and 12
-3y + 8x = -12
(ps, I haven’t done this kind of math in a long time )
Both heads and tails because there are only 2 choices
Answer:
266.5
Step-by-step explanation:
I directly used calculator
Answer:
The equation of line in SLOPE INTERCEPT is y = x -1
Step-by-step explanation:
Here, two points given on the line equation are
A(5,4) and B(-4,-5)
Now The slope of the line AB =
or,
⇒ the slope of AB is m = 1
By SLOPE INTERCEPT FORMULA:
The equation of a line with slope m and a point (x0, y0) is given as
(y-y0)= m (x-x0)
⇒ The equation of line with point (5,4) is:
(y - 4) = (1) (x -5)
or, y - 4 = x - 5
⇒ y = x - 5 + 4
Now, SLOPE INTERCEPT FORM of a line equation is y = mx + c
⇒ y = x -1
Hence, the equation of line in SLOPE INTERCEPT is y = x -1