Question

Given a line with a slope of1/2 and a point(6,5) which lies on that find an equation to represent that line

Answer 1

The equation of the line is given as 2 y - x = 4.

Explanation:

Here, the slope of the given line = 1/2

The point on the line is (x0,y0) = (6,5)

Now, by POINT SLOPE FORMULA:

The equation of line with (x0,y0) and slope m is written as:

(y - y0) = m (x-x0)

So, here the equation of line is given as

`( y- 5) = (1)/(2) (x-6)\\\implies 2( y-5) = ( x-6)\\or, 2y - 10 = x - 6\\\implies  2y - x = 4`

Hence the equation of the line is 2 y - x = 4.