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Aleksandr [31]
2 years ago
6

What is the equation of the blue line?

Mathematics
1 answer:
sergejj [24]2 years ago
6 0

Answer:

• From the general equation of a line:

{ \rm{y = mx + b}} \\

  • m is slope
  • b is y-intercept.

→ Consider points (4, 4) and (2, 3)

{ \rm{slope =  \frac{y _{2} - y _{1} }{x _{2}  - x _{1} } }} \\  \\ { \rm{m =  \frac{3 - 4}{2 - 4} =  \frac{ - 1}{ - 2}  }} \\  \\ { \underline{ \rm{ \:  \: m =  \frac{1}{2}  \:  \: }}}

→ find the y-intercept:

{ \rm{y = mx + b}} \\ { \rm{3 = ( \frac{1}{2}  \times 2) + b}} \\  \\ { \rm{3 = 1 + b}} \\  \\ { \underline{ \rm{ \:  \: b = 2 \:  \: }}}

• Therefore, equation of a blue line is

{ \boxed{ \rm{y =  \frac{1}{2}x + 2 }}} \\

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