Write a linear function f with the values f(-4) = 0 and f (4) = 2.

y + (1/4)(x + 4)

Step-by-step explanation:

One point on the graph is (-4, 0); another is (4, 2).

The change in x from the first point to the second is 8; this is the 'run.'

The change in y is 2 (which is 2 - 0).  This is the 'rise.'

Thus, the slope of the line is m = rise / run = 2/8 = 1/4

Let's use the point-slope form of the equation of a straight line:

y  - k = m(x - h).  Substituting 0 for k and -4 for h, we get:

y - 0 = (1/4)(x + 4), or

y + (1/4)(x + 4)

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

i’m here for points.