Question

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

Answer 1

`y = (1)/(2)x+3`

Explanation:

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

y= mx+b

We know the slope is 1/2

So,

`y=(1)/(2) x+b`

Putting the point to find the value of b

`4=(1)/(2)(2) +b\\ 4=1+b\\4-1 =b\\b=3`

So the equation of line is:

`y = (1)/(2)x+3`

..