Answer:
The y-value of P' is -10.
Step-by-step explanation:
It was given that; triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2).
The translation rule is

To find the image of P, which is P', we have to substitute the coordinates of P(-2,6) to obtain;


Hence the y-value of P' is -10.
Answer:
(0, -1)
Step-by-step explanation:
find b and then go down three units and left two to find the new coordinates
Answer:
c = 9
Step-by-step explanation:
You're looking for a number so that when you use that number in place of x, you end up with 20.
f(x) = 3x - 7
f(c) = 3c - 7
20 = 3c - 7
Add 7
27 = 3c
Divide by 3
9 = c
Its simply helps you visualizing what part is negative/positive. For inequations (ex: 3x+9>10), its super important to let you know from where to where the equation is, in my example, higher than 10.
Answer:
No solution
Step-by-step explanation:
Step 1: Write out equations
y = -1/4x + 2
3y = -3/4x - 6
Step 2: Substitution
3(-1/4x + 2) = -3/4x - 6
Step 3: Distribute
-3/4x + 6 = -3/4x - 6
From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.
Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.