Perpendicular lines have slopes that multiply to get -1
y=mx+b is the slope intercept equation
m=slope
so get into y=mx+b form
-x+2y=4
solve for y
add x both sides
2y=x+4
divide by 2 both sides
y=(1/2)x+2
the slope is 1/2
perppendicular line slope multiplies to -1
1/2 times what=-1
times 2/1 both sides
what=-2/1=-2
y=-2x+b
find b
we are given a point is (-2,1)
when x=-2, y=1
1=-2(-2)+b
1=4+b
minus 3 both sides
-3=b
so the equation is
y=-2x-3
your teacher might want it in standard form (ax+by=c) so
add 2x both sides
2x+y=-3 is an equation
so y=-2x-3 is correct (slope intercept form)
2x+y=-3 is also correct (standard form)
Answer:
4
Step-by-step explanation:
x butterflies and y dragonflies
4 < x + y 《 8
x = 2y
4 < 2y + y < 8
4 < 3y < 8
Only multiple of 2 between 4 and 8 is 6
So 3y = 6
y = 2
x = 2y = 4
Answer:
12. DE
13. DE
14. BE
15. DE
16. BC
Step-by-step explanation:
A midsegment is a line drawn across a triangle from one side to another that is parallel to the third side. It is also half the length of the parallel side. Here it is called DE.
The answer you are look for is 96
A dozen of eggs =12
He scramble 8 of a dozen
12•8=96
9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).