A DOG has coordinates D (B2), (2, -4) and G (-1, -1). A translation maps point D to D (2, 4). Find the coordinates of O and G under this translation. (6 points)
O (1); G (-2)
a
Ob
O'(3.0). G-1
Ос
O'(0, -3), G-3,0)
Od 0(1-2); G (-2,1)

hi there!

the answer will be d: 2

5x + 3y = - 4

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 )

express the line first of all 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 ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

agree

step-by-step explanation: