Answer:
1/4
Step-by-step explanation:
The formula is y2-y1 over x2-x1.
(Remember that or another problem like that)
(3, 4) (-5,2)
x1 y1 x2 y2
We would do: 2-4 over -5-3
2-4=-2
-5-3=-8
Your answer would be: -2/-8, which is simplified to 1/4 because when you divide two negative numbers, you get a positive.
Answer:
Options a, d and e
Step-by-step explanation:
We check the validity of each of the options.
Kindly note that we can express the equation fully and we have;
y-3 = -2x-10
y = -2x -10 + 3
y = -2x -7
So let’s now evaluate the options.
(a) Insert the value of x at this point, if it gives the value of y, then it’s on the line
the value of x to insert is -5 here.
Thus ; y = -2(-5)-7 = 10-7 = 3
since y is 3, then it is on the line
(b) same as a
insert x = 5
y = -2x-7
y = -2(5) -7
y = -10-7 = -17
This is definitely not on the line as the value of y gotten does not correlate with what was given
c. To get this , compare with the standard form of
y = mx + c
where m is slope
Here our m is -2 , so this is definitely wrong
d) From above , we can see that this is correct
e) compare this with y = mx + c
c is our intercept and this is equal to -7 which makes this option also correct
Direct variation looks like
y=kx, so
k=y/x
<span>(2, 4) k=4/2=2
(5, 10) k=10/5=2
(7, 14) k=14/7=2
(11, 22) k=22/11=2
Answer:A.k=2.</span>
You can identify similar polygon by comparing their corresponding angles and sides. ( if they are the same the ratio of the lengths is the scale factor. Also check if their sides are proportional.)
Answer:
(4 , -3)
Step-by-step explanation:
the points (3 , 5) and (3 , 7) have the same x-coordinates 3
then ,the line D joining them has the equation
D : x = 3
the image of the point A(2 , -3) under reflecting about The line D ,
lie on the line ∆ perpendicular to D and passes through A.
∆ perpendicular to D then the equation of ∆ is :
∆ : y = a ,where a is a real number.
Calculating ‘a’ :
∆ passes through A
Then
-3 = a
Therefore
the final equation of ∆ is :
∆ : y = -3
Obviously, the lines D and ∆ intersect at the point M(3 , -3)
FINAL STEP :
<u><em>Calculating the coordinates of the point B(x , y) image of the point A(2 , -3) </em></u>
M is the midpoint of the line segment AB :
Then
3 = (2 + x)/2 and -3 = (-3 + y)/2
Then
x = 4 and y = -3.