ethanrobertmiller19 ethanrobertmiller19
  • 11-07-2019
  • Mathematics
contestada

Which line has a slope of LaTeX: \frac{1}{2}12and goes through the point (2, 4)?

Respuesta :

absor201
absor201 absor201
  • 21-07-2019

Answer:

[tex]y = \frac{1}{2}x+3[/tex]

Step-by-step explanation:

The standard form of a line with slope and point is:

y= mx+b

We know the slope is 1/2

So,

[tex]y=\frac{1}{2} x+b[/tex]

Putting the point to find the value of b

[tex]4=\frac{1}{2}(2) +b\\ 4=1+b\\4-1 =b\\b=3[/tex]

So the equation of line is:

[tex]y = \frac{1}{2}x+3[/tex]

..

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