(2, 1), (0, -7)
Write an equation of the line that passes through the given points

y = 4x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the t- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (0, - 7)

m = = = 4

The line crosses the y- axis at (0, - 7) ⇒ c = - 7

y = 4x - 7 ← 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.

step-by-step explanation: