Question

Write the equation for the line Ax+By=C passing through points (3,-6) and (0,3)

Answer 1

3x + y = 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 ) = (3, - 6) and (x₂, y₂ ) = (0, 3)

m =
`(3+6)/(0-3)` =
`(9)/(-3)` = - 3

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

y = - 3x + 3 ← in slope- intercept form

Add 3x to both sides

3x + y = 3 ← in standard form