Find an equation for the line below

Step-by-step explanation:

you can use the equation point-slope of a line

(y-y1)= m(x-x1)

m is the slope =rise /run

to get from the lower point  on the line to the other you rise 4 units and run -6 units so m= -4/6= -2/3

now that you have the slope pick you need one point

pick any poin on the line for example (-4, -1)

now you substitute into the point-slope equation point (-4,-1) and slope -2/3

(y+1)= -2/3(x+4)

in standard form will be

y=

y=

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.