A line segment has endpoints at (1, 3) and (3,1). If the line segment is translated 2 units up and 2 units to the right, what are the new coordinates of the second point? a.(1, 3) b. (5, 3) c. (3, 3) d.(5, 1 )

B: (5,3)

Step-by-step explanation:

The second point is (3,1)

2 units up is +2

2 units right is also + 2

So the new coordinates will be;

(3 + 2, 1 + 2) •= (5,3)

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b