Answer:
g(7) = -34/13
Step-by-step explanation:
In order to find g(7), we first need to find the g(x) function. To do so, use the two ordered pairs given, (-3, 2) and (10, -4). First we find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - -4)/(-3 - 10)
m = 6/-13
Now that we have the slope, we can use that and either ordered pair in point-slope form to get the equation of the function.
y - y1 = m(x - x1)
y - 2 = 6/13(x + 3)
y - 2 = -6/13x - 18/13
y = -6/13x + 8/13
g(x) = 6/13x + 8/13
Now that we have this, we can plug in 7 for x and find g(7).
g(x) = -6/13x + 8/13
g(7) = -6/13(7) + 8/13
g(7) = -42/13 + 8/13
g(7) = -34/13
Answer:
Your answer is in the attachment!!
<h2>HOPE IT HELPS U!!!! </h2>
Answer:
slope = - 4
Step-by-step explanation:
Calculate the slope m using the slope formula and any 2 ordered pairs from the table.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 8) and (x₂, y₂ ) = (- 1, 4) ← 2 points from the table
m =
=
= - 4
14, finding the rate of change is simple,
142-128 = 14
156-142 = 14
170-156 = 14
184-170 = 14
14+14+14+14 = 56
There are 4 integers so divide by 4
56/4 = 14
so the answer is 14