Question

Write an equation of the line graphed
9,)

Answer 1

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

Explanation:

Equation of a line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since slope of the line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is,

m =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of the line passing through (0, 5) and (4, 3) will be,

m =
`(5-3)/(0-4)=-(1)/(2)`

Now the equation of the line passing through (0, 5) and slope =
`-(1)/(2)` will be,

y - 5 =
`-(1)/(2)(x - 0)`

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