What is the equation of a line that passes through the point (0, -2) and has a slope of -3?

Y = -3x-2

Step-by-step explanation:

if there are two co-ordinates (x1,y1) and (x2,y2).

If the line is passing through these co-ordinates

Then Slopw of the line  = (y2-y1)/(x2-x1)

We have one co-ordinate (-0,-2) let it be (X1,Y1)

Let second co-ordinate be (X,Y)

Slope = -3 = (Y-(-2)) / (X-0)

-7  = (Y+2)/(X)

Y+2 = -3 (X)

Y+2 = -3X

ADDING -2 ON BOTH SIDES OF THE EQUATION

Y+2-2 = -3X-2

Y = -3x-2

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

contact me if you have any questions you are welcome.