Question

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

Answer 1

Answer:

$y = \frac{1}{2}x+3$

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,

$y=\frac{1}{2} x+b$

Putting the point to find the value of b

$4=\frac{1}{2}(2) +b\\ 4=1+b\\4-1 =b\\b=3$

So the equation of line is:

$y = \frac{1}{2}x+3$

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