Answer:
Answer is D
Step-by-step explanation:
(3,-7) and (1,-10) belong toD Variant
3:5 ratio mean there are 8 "parts" (3 + 5 = 8)
The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction.
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.
Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8
So the point I is (0, 25/8)
Start with the simplest equation of a straight line: y = mx + b.
Subst. 1 for m, 2 for x and 4 for y. Then, 4 = 1(2) + b, or b = 2.
In slope-intercept form, the equation of this line is y = x + 2.