En the line below. Write the point-slope form of the given line that passes through the points (-4, -1) and (3, -3). Identify (x1, y1) as (-4, -1).Include your work in your final answer. Type your answer in the box provided to submit your solution.

y + 1 = - (x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) a point on the line

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂ ) = (3, - 3)

m = = = -

and (x₁, y₁ ) = (- 4, - 1), then

y - (- 1) = - ( x - (- 4) ) , that is

y + 1 = - (x + 4) ← equation of line

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.