Question

Find the equation of the line.

Answer 1

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

Explanation:

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept of the line

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

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

If the points are (0, 5) and (-3, 6),

Slope of the line 'm' =
`(6-5)/(-3-0)`

=
`-(1)/(3)`

y-intercept of the line 'b' = 5

Therefore, equation of the given line will be,

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