Answer:
[tex]\underline {\boxed{y = 2x}}[/tex]
Step-by-step explanation:
[tex]the \: slope \: intercept \: form \: is \: given \: by \\ y = mx \: + c \\ but \: m = \frac{y_{2} -y_{1}}{x_{2} - x_{1}} \\ (x_{1}, \: y_{1}) = (70, \:140) \\ (x_{2}, \: y_{2}) = (80, \:160) \\ m = \frac{160 - 140}{80 - 70} = \frac{20}{10} \\ \underline {\boxed{m = 2}} \\using \: point \: (1) \to \: (x_{1}, \: y_{1}) = (70, \:140) \\ if \: y = mx + c \\ 140 = 2(70) + c \\ c = 140 - 140 \\ \underline {\boxed{c = 0}} \\ hence \: the \: required \: equation \: i s \: \to \\ \underline {\boxed{y= 2x + 0}}[/tex]
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