Answer:
t = 1
Step-by-step explanation:
5t + 8 = 13
Subtract 8 from both sides
5t + 8 - 8 = 13 - 8
5t = 5
Divide both sides by 5
5t/5 = 5/5
t = 1
Check:
5t + 8 = 13
5(1) + 8 = 13
5 + 8 = 13
Step-by-step explanation:
The problem states that you have a linear function so expect your equation to have this form:
y = mx + b
where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.
m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)
= 54/9 = 6
So our equation now becomes
y = 6m + b
To solve for b, plug in the values of P1:
6 = 6(5) + b ---> b = -24
Therefore, our equation is
y = 6m - 24
The rest of the points are
(8, 24)
(11, 42)