Which is the graph of y- 3 = -2/3(x + 6)?

put points on (1.5, 0) and (0, -1), then draw a continuous line through them

Step-by-step explanation:

y - 3 = -2/3(x + 6)

y - 3 = (-2/3)x - 4

y = (-2/3)x - 1

0 = (-2/3)x - 1

1 = (-2/3)x

x = 3/2 = 1.5

y = (-2/3)(0) - 1

y = -1

4.55 mi N70°E, or 4.6 mi n70°E

Step-by-step explanation:

Draw a diagram; it helps keep the trig functions straight.

Starting from (0,0) a walk of 2 mi at N40°E leaves him at

x = 2sin40° = 1.29

y = 2cos40° = 1.53

Now, a walk 3 mi due east leaves him at

(4.29,1.53)

The new bearing is an angle θ with tanθ = 4.29/1.53 = 2.80

so, the new location is 4.55 mi N70°E