The answer is A.
A translation is a rigid motion, so the shape and length of the figure will not be changed in any way, only the position. C and D can’t be the answer because there was no reflection, only a translation. And it can’t be B because both lines are being translated the same distance.
Answer:
3x + 5y = 1
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line
m =
= -
y = -
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (2, - 1), then
- 1 = -
+ c ⇒ c = - 1 +
= 
y = -
x +
← in slope-intercept form
multiply all terms by 5
5y = - 3x + 1 ( add 3x to both sides )
3x + 5y = 1 ← in standard form
1. 3
2. -4
3. -17
4. -13
5. 1
6. 14
7. -45
8. 36
9. -75
10. 3
11. -15
12. -12
13. -5
14. 15
15. 72
16. -10
17. 25
18. -282