Question

Find the equation of the line that passes through the following points (0,3) and (-6,4)​

Answer 1

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

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 6, 4)

m =
`(4-3)/(-6-0)` =
`(1)/(-6)` = -
`(1)/(6)`

Note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = -
`(1)/(6)` x + 3 ← equation of line