Question

Write an equation for the line that has a slope of 1/2 and passes through the point (-2,5)

Answer 1

y=0.5x+6

Explanation:

6 is the y-intercept because you go up 1 over 2.

Answer 2

Answer: The equation of line is
`2y - x - 12 = 0`

Explanation:

The formula for finding the equation of a line when slope and a point is gives is :

`y-y_(1)=m(x-x_(1))`

`x_(1)=-2`

`y_(1)=5`

`m = 1/2`

substituting into the formula , we have :

`y - 5 = 1/2 ( x-(-2) )`

multiply through by 2 , we have

`2(y-5) = 1(x+2)`

`2y - 10 = x + 2`

`2y - x - 10 - 2 = 0`

`2y - x - 12 = 0`

Therefore : the equation of line is
`2y - x - 12 = 0`