<u>Given</u>:
Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows: 
- C' = (–6, –5)
- D' = (–6, –3)
- E' = (–4, –3)
- F' = (–4, –5)
<u>Translation</u>:
Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.
C'(–6, –5)
ㅤㅤ= C'(–6 + 2, –5 + 8)
ㅤㅤ= C'(–4, 3)
D'(–6, –3)
ㅤㅤ= D'(–6 + 2, –3 + 8)
ㅤㅤ= D'(–4, 5)
E'(–4, –3)
ㅤㅤ= E'(–4 + 2, –3 + 8)
ㅤㅤ= E'(–2, 5)
F'(–4, –5)
ㅤㅤ= F'(–4 + 2, –5 + 8)
ㅤㅤ= F'(–2, 3)
<u>Final </u><u>answer</u>:
- C' = (–4, 3)
- D' = (–4, 5)
- E' = (–2, 5)
- F' = (–2, 3)
First, find a common denominator.
2 and 1/3 = 2 and 3/9.
4 and 2/9 - 2 and 3/9 = 1 and 8/9. Hope it helps!
7×4=28+32=60+3 this is a bit long
Answer:
y = 2.5x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b, where m is the gradient or slope and b is the y-intercept.
To find the gradient/slope (m), we need to do change in y ÷ change in x.
- Pick two co-ordinates on the line; (0, 5) and (-2, 0)
- Subtract the y co-ordinates; 5 - 0 = 5
- Subtract the x-co-ordinates; 0 - -2 = 2
- Finally, divide 5 by 2; 5 ÷ 2 = 5/2 or 2.5
Now we have y = 2.5x + b. The y-intercept is simply where the line crosses the y axis (it crosses at 0,5). This means the equation of the line is y = 2.5x + 5.
Hope this helps!