Question

Which of the following represents the linear relationship between 𝑎 and 𝑏?

a 0 2 3
b 7 15 19
A)
𝑏 =11⁢𝑎


B)
𝑏 =𝑎 +7


C)
𝑎 =7 +4⁢𝑏


D)
𝑏 =7 +4⁢𝑎


E)
𝑏 =7 +8⁢𝑎

Answer 1

Compute the slope: (15−7)/(2−0)=8/2=4 and (19−15)/(3−2)=4, so slope = 4. When a = 0, b = 7, so intercept = 7. Equation: b = 7 + 4a. Answer: D.